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Finding the Fourth Proportional to 731.66, 1,009.38 and 507.56

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Solution

The fourth proportional to 731.66, 1,009.38 and 507.56 is: 700.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.66 : 1,009.38 = 507.56 : x
  2. Step 2: Convert to fraction form
    731.66/1,009.38 = 507.56/x
  3. Step 3: Cross multiply
    731.66x = 1,009.38 × 507.56
  4. Step 4: Simplify right side
    731.66x = 512,320.91
  5. Step 5: Solve for x
    x = 512,320.91/731.66
  6. Step 6: Final answer
    x = 700.22

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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.