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Finding the Fourth Proportional to 732.88, 1,009.91 and 522.69

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Solution

The fourth proportional to 732.88, 1,009.91 and 522.69 is: 720.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.88 : 1,009.91 = 522.69 : x
  2. Step 2: Convert to fraction form
    732.88/1,009.91 = 522.69/x
  3. Step 3: Cross multiply
    732.88x = 1,009.91 × 522.69
  4. Step 4: Simplify right side
    732.88x = 527,867.38
  5. Step 5: Solve for x
    x = 527,867.38/732.88
  6. Step 6: Final answer
    x = 720.26

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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.