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Finding the Fourth Proportional to 924.14, 1,387.78 and 617.96

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Solution

The fourth proportional to 924.14, 1,387.78 and 617.96 is: 927.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.14 : 1,387.78 = 617.96 : x
  2. Step 2: Convert to fraction form
    924.14/1,387.78 = 617.96/x
  3. Step 3: Cross multiply
    924.14x = 1,387.78 × 617.96
  4. Step 4: Simplify right side
    924.14x = 857,592.53
  5. Step 5: Solve for x
    x = 857,592.53/924.14
  6. Step 6: Final answer
    x = 927.99

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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.