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Finding the Fourth Proportional to 939.72, 1,410.12 and 507.24

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Solution

The fourth proportional to 939.72, 1,410.12 and 507.24 is: 761.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.72 : 1,410.12 = 507.24 : x
  2. Step 2: Convert to fraction form
    939.72/1,410.12 = 507.24/x
  3. Step 3: Cross multiply
    939.72x = 1,410.12 × 507.24
  4. Step 4: Simplify right side
    939.72x = 715,269.27
  5. Step 5: Solve for x
    x = 715,269.27/939.72
  6. Step 6: Final answer
    x = 761.15

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Why These Related Problems?

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