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Finding the Fourth Proportional to 732.31, 1,009.40 and 510.88

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Solution

The fourth proportional to 732.31, 1,009.40 and 510.88 is: 704.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.31 : 1,009.40 = 510.88 : x
  2. Step 2: Convert to fraction form
    732.31/1,009.40 = 510.88/x
  3. Step 3: Cross multiply
    732.31x = 1,009.40 × 510.88
  4. Step 4: Simplify right side
    732.31x = 515,682.27
  5. Step 5: Solve for x
    x = 515,682.27/732.31
  6. Step 6: Final answer
    x = 704.19

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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.