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Finding the Fourth Proportional to 931.48, 1,285.62 and 558.76

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Solution

The fourth proportional to 931.48, 1,285.62 and 558.76 is: 771.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.48 : 1,285.62 = 558.76 : x
  2. Step 2: Convert to fraction form
    931.48/1,285.62 = 558.76/x
  3. Step 3: Cross multiply
    931.48x = 1,285.62 × 558.76
  4. Step 4: Simplify right side
    931.48x = 718,353.03
  5. Step 5: Solve for x
    x = 718,353.03/931.48
  6. Step 6: Final answer
    x = 771.20

Related Problems

Find fourth proportional to 465.74, 642.81 and 279.38
Half scale
Find fourth proportional to 1,862.96, 2,571.24 and 1,117.52
Double scale
Find fourth proportional to 932.48, 1,287 and 559.76
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.