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Finding the Fourth Proportional to 925.53, 1,277.24 and 726.60

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Solution

The fourth proportional to 925.53, 1,277.24 and 726.60 is: 1,002.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.53 : 1,277.24 = 726.60 : x
  2. Step 2: Convert to fraction form
    925.53/1,277.24 = 726.60/x
  3. Step 3: Cross multiply
    925.53x = 1,277.24 × 726.60
  4. Step 4: Simplify right side
    925.53x = 928,038.95
  5. Step 5: Solve for x
    x = 928,038.95/925.53
  6. Step 6: Final answer
    x = 1,002.71

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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.