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Finding the Fourth Proportional to 905.19, 1,249.07 and 506.84

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Solution

The fourth proportional to 905.19, 1,249.07 and 506.84 is: 699.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.19 : 1,249.07 = 506.84 : x
  2. Step 2: Convert to fraction form
    905.19/1,249.07 = 506.84/x
  3. Step 3: Cross multiply
    905.19x = 1,249.07 × 506.84
  4. Step 4: Simplify right side
    905.19x = 633,069.86
  5. Step 5: Solve for x
    x = 633,069.86/905.19
  6. Step 6: Final answer
    x = 699.38

Related Problems

Find fourth proportional to 452.60, 624.53 and 253.42
Half scale
Find fourth proportional to 1,810.38, 2,498.13 and 1,013.67
Double scale
Find fourth proportional to 906.19, 1,250.44 and 507.84
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.