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Finding the Fourth Proportional to 924.35, 1,387.04 and 491.49

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Solution

The fourth proportional to 924.35, 1,387.04 and 491.49 is: 737.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.35 : 1,387.04 = 491.49 : x
  2. Step 2: Convert to fraction form
    924.35/1,387.04 = 491.49/x
  3. Step 3: Cross multiply
    924.35x = 1,387.04 × 491.49
  4. Step 4: Simplify right side
    924.35x = 681,716.29
  5. Step 5: Solve for x
    x = 681,716.29/924.35
  6. Step 6: Final answer
    x = 737.51

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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.