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Finding the Fourth Proportional to 939.56, 1,410.14 and 507.02

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Solution

The fourth proportional to 939.56, 1,410.14 and 507.02 is: 760.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.56 : 1,410.14 = 507.02 : x
  2. Step 2: Convert to fraction form
    939.56/1,410.14 = 507.02/x
  3. Step 3: Cross multiply
    939.56x = 1,410.14 × 507.02
  4. Step 4: Simplify right side
    939.56x = 714,963.40
  5. Step 5: Solve for x
    x = 714,963.40/939.56
  6. Step 6: Final answer
    x = 760.96

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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.