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Finding the Fourth Proportional to 929.42, 1,394.54 and 381.74

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Solution

The fourth proportional to 929.42, 1,394.54 and 381.74 is: 572.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.42 : 1,394.54 = 381.74 : x
  2. Step 2: Convert to fraction form
    929.42/1,394.54 = 381.74/x
  3. Step 3: Cross multiply
    929.42x = 1,394.54 × 381.74
  4. Step 4: Simplify right side
    929.42x = 532,351.70
  5. Step 5: Solve for x
    x = 532,351.70/929.42
  6. Step 6: Final answer
    x = 572.78

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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.