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Finding the Fourth Proportional to 1,001.58, 1,382.17 and 559.48

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Solution

The fourth proportional to 1,001.58, 1,382.17 and 559.48 is: 772.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.58 : 1,382.17 = 559.48 : x
  2. Step 2: Convert to fraction form
    1,001.58/1,382.17 = 559.48/x
  3. Step 3: Cross multiply
    1,001.58x = 1,382.17 × 559.48
  4. Step 4: Simplify right side
    1,001.58x = 773,296.47
  5. Step 5: Solve for x
    x = 773,296.47/1,001.58
  6. Step 6: Final answer
    x = 772.08

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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.