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Finding the Fourth Proportional to 925.26, 1,388.52 and 492.72

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Solution

The fourth proportional to 925.26, 1,388.52 and 492.72 is: 739.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.26 : 1,388.52 = 492.72 : x
  2. Step 2: Convert to fraction form
    925.26/1,388.52 = 492.72/x
  3. Step 3: Cross multiply
    925.26x = 1,388.52 × 492.72
  4. Step 4: Simplify right side
    925.26x = 684,151.57
  5. Step 5: Solve for x
    x = 684,151.57/925.26
  6. Step 6: Final answer
    x = 739.42

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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.