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Finding the Fourth Proportional to 742.38, 1,023.84 and 556.29

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Solution

The fourth proportional to 742.38, 1,023.84 and 556.29 is: 767.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.38 : 1,023.84 = 556.29 : x
  2. Step 2: Convert to fraction form
    742.38/1,023.84 = 556.29/x
  3. Step 3: Cross multiply
    742.38x = 1,023.84 × 556.29
  4. Step 4: Simplify right side
    742.38x = 569,551.95
  5. Step 5: Solve for x
    x = 569,551.95/742.38
  6. Step 6: Final answer
    x = 767.20

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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.