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Finding the Fourth Proportional to 731.91, 1,009.47 and 511.20

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Solution

The fourth proportional to 731.91, 1,009.47 and 511.20 is: 705.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.91 : 1,009.47 = 511.20 : x
  2. Step 2: Convert to fraction form
    731.91/1,009.47 = 511.20/x
  3. Step 3: Cross multiply
    731.91x = 1,009.47 × 511.20
  4. Step 4: Simplify right side
    731.91x = 516,041.06
  5. Step 5: Solve for x
    x = 516,041.06/731.91
  6. Step 6: Final answer
    x = 705.06

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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.