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Finding the Fourth Proportional to 925.58, 1,387.29 and 411.50

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Solution

The fourth proportional to 925.58, 1,387.29 and 411.50 is: 616.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.58 : 1,387.29 = 411.50 : x
  2. Step 2: Convert to fraction form
    925.58/1,387.29 = 411.50/x
  3. Step 3: Cross multiply
    925.58x = 1,387.29 × 411.50
  4. Step 4: Simplify right side
    925.58x = 570,869.84
  5. Step 5: Solve for x
    x = 570,869.84/925.58
  6. Step 6: Final answer
    x = 616.77

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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.