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Finding the Fourth Proportional to 1,001.67, 1,382.28 and 559.53

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Solution

The fourth proportional to 1,001.67, 1,382.28 and 559.53 is: 772.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.67 : 1,382.28 = 559.53 : x
  2. Step 2: Convert to fraction form
    1,001.67/1,382.28 = 559.53/x
  3. Step 3: Cross multiply
    1,001.67x = 1,382.28 × 559.53
  4. Step 4: Simplify right side
    1,001.67x = 773,427.13
  5. Step 5: Solve for x
    x = 773,427.13/1,001.67
  6. Step 6: Final answer
    x = 772.14

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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.