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Finding the Fourth Proportional to 1,001.50, 1,382.10 and 559.47

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Solution

The fourth proportional to 1,001.50, 1,382.10 and 559.47 is: 772.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.50 : 1,382.10 = 559.47 : x
  2. Step 2: Convert to fraction form
    1,001.50/1,382.10 = 559.47/x
  3. Step 3: Cross multiply
    1,001.50x = 1,382.10 × 559.47
  4. Step 4: Simplify right side
    1,001.50x = 773,246.57
  5. Step 5: Solve for x
    x = 773,246.57/1,001.50
  6. Step 6: Final answer
    x = 772.09

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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.