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Finding the Fourth Proportional to 924.86, 1,276.49 and 593.71

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Solution

The fourth proportional to 924.86, 1,276.49 and 593.71 is: 819.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.86 : 1,276.49 = 593.71 : x
  2. Step 2: Convert to fraction form
    924.86/1,276.49 = 593.71/x
  3. Step 3: Cross multiply
    924.86x = 1,276.49 × 593.71
  4. Step 4: Simplify right side
    924.86x = 757,855.53
  5. Step 5: Solve for x
    x = 757,855.53/924.86
  6. Step 6: Final answer
    x = 819.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.