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Finding the Fourth Proportional to 1,147.85, 1,583.87 and 675.71

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Solution

The fourth proportional to 1,147.85, 1,583.87 and 675.71 is: 932.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.85 : 1,583.87 = 675.71 : x
  2. Step 2: Convert to fraction form
    1,147.85/1,583.87 = 675.71/x
  3. Step 3: Cross multiply
    1,147.85x = 1,583.87 × 675.71
  4. Step 4: Simplify right side
    1,147.85x = 1,070,237.38
  5. Step 5: Solve for x
    x = 1,070,237.38/1,147.85
  6. Step 6: Final answer
    x = 932.38

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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.