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Finding the Fourth Proportional to 732.04, 1,009.44 and 522.24

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Solution

The fourth proportional to 732.04, 1,009.44 and 522.24 is: 720.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.04 : 1,009.44 = 522.24 : x
  2. Step 2: Convert to fraction form
    732.04/1,009.44 = 522.24/x
  3. Step 3: Cross multiply
    732.04x = 1,009.44 × 522.24
  4. Step 4: Simplify right side
    732.04x = 527,169.95
  5. Step 5: Solve for x
    x = 527,169.95/732.04
  6. Step 6: Final answer
    x = 720.14

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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.