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Finding the Fourth Proportional to 748.98, 1,032.39 and 562.14

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Solution

The fourth proportional to 748.98, 1,032.39 and 562.14 is: 774.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.98 : 1,032.39 = 562.14 : x
  2. Step 2: Convert to fraction form
    748.98/1,032.39 = 562.14/x
  3. Step 3: Cross multiply
    748.98x = 1,032.39 × 562.14
  4. Step 4: Simplify right side
    748.98x = 580,347.71
  5. Step 5: Solve for x
    x = 580,347.71/748.98
  6. Step 6: Final answer
    x = 774.85

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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.