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Finding the Fourth Proportional to 925.05, 1,387.58 and 492.11

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Solution

The fourth proportional to 925.05, 1,387.58 and 492.11 is: 738.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.05 : 1,387.58 = 492.11 : x
  2. Step 2: Convert to fraction form
    925.05/1,387.58 = 492.11/x
  3. Step 3: Cross multiply
    925.05x = 1,387.58 × 492.11
  4. Step 4: Simplify right side
    925.05x = 682,840.57
  5. Step 5: Solve for x
    x = 682,840.57/925.05
  6. Step 6: Final answer
    x = 738.16

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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.