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Finding the Fourth Proportional to 1,347.97, 2,020.32 and 567.82

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Solution

The fourth proportional to 1,347.97, 2,020.32 and 567.82 is: 851.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.97 : 2,020.32 = 567.82 : x
  2. Step 2: Convert to fraction form
    1,347.97/2,020.32 = 567.82/x
  3. Step 3: Cross multiply
    1,347.97x = 2,020.32 × 567.82
  4. Step 4: Simplify right side
    1,347.97x = 1,147,178.10
  5. Step 5: Solve for x
    x = 1,147,178.10/1,347.97
  6. Step 6: Final answer
    x = 851.04

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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.