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Finding the Fourth Proportional to 939.74, 1,407.98 and 507.20

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Solution

The fourth proportional to 939.74, 1,407.98 and 507.20 is: 759.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.74 : 1,407.98 = 507.20 : x
  2. Step 2: Convert to fraction form
    939.74/1,407.98 = 507.20/x
  3. Step 3: Cross multiply
    939.74x = 1,407.98 × 507.20
  4. Step 4: Simplify right side
    939.74x = 714,127.46
  5. Step 5: Solve for x
    x = 714,127.46/939.74
  6. Step 6: Final answer
    x = 759.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.