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Finding the Fourth Proportional to 925.17, 1,388.10 and 752.25

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Solution

The fourth proportional to 925.17, 1,388.10 and 752.25 is: 1,128.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.17 : 1,388.10 = 752.25 : x
  2. Step 2: Convert to fraction form
    925.17/1,388.10 = 752.25/x
  3. Step 3: Cross multiply
    925.17x = 1,388.10 × 752.25
  4. Step 4: Simplify right side
    925.17x = 1,044,198.23
  5. Step 5: Solve for x
    x = 1,044,198.23/925.17
  6. Step 6: Final answer
    x = 1,128.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.