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Finding the Fourth Proportional to 1,524.59, 2,287.85 and 794.68

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Solution

The fourth proportional to 1,524.59, 2,287.85 and 794.68 is: 1,192.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.59 : 2,287.85 = 794.68 : x
  2. Step 2: Convert to fraction form
    1,524.59/2,287.85 = 794.68/x
  3. Step 3: Cross multiply
    1,524.59x = 2,287.85 × 794.68
  4. Step 4: Simplify right side
    1,524.59x = 1,818,098.94
  5. Step 5: Solve for x
    x = 1,818,098.94/1,524.59
  6. Step 6: Final answer
    x = 1,192.52

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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.