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Finding the Fourth Proportional to 732.22, 1,009.42 and 522.03

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Solution

The fourth proportional to 732.22, 1,009.42 and 522.03 is: 719.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.22 : 1,009.42 = 522.03 : x
  2. Step 2: Convert to fraction form
    732.22/1,009.42 = 522.03/x
  3. Step 3: Cross multiply
    732.22x = 1,009.42 × 522.03
  4. Step 4: Simplify right side
    732.22x = 526,948.98
  5. Step 5: Solve for x
    x = 526,948.98/732.22
  6. Step 6: Final answer
    x = 719.66

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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.