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Finding the Fourth Proportional to 869.25, 1,199.84 and 558.75

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Solution

The fourth proportional to 869.25, 1,199.84 and 558.75 is: 771.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.25 : 1,199.84 = 558.75 : x
  2. Step 2: Convert to fraction form
    869.25/1,199.84 = 558.75/x
  3. Step 3: Cross multiply
    869.25x = 1,199.84 × 558.75
  4. Step 4: Simplify right side
    869.25x = 670,407.81
  5. Step 5: Solve for x
    x = 670,407.81/869.25
  6. Step 6: Final answer
    x = 771.25

Related Problems

Find fourth proportional to 434.63, 599.92 and 279.38
Half scale
Find fourth proportional to 1,738.50, 2,399.67 and 1,117.50
Double scale
Find fourth proportional to 870.25, 1,201.22 and 559.75
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.