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Finding the Fourth Proportional to 1,147.57, 1,583.55 and 675.49

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Solution

The fourth proportional to 1,147.57, 1,583.55 and 675.49 is: 932.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.57 : 1,583.55 = 675.49 : x
  2. Step 2: Convert to fraction form
    1,147.57/1,583.55 = 675.49/x
  3. Step 3: Cross multiply
    1,147.57x = 1,583.55 × 675.49
  4. Step 4: Simplify right side
    1,147.57x = 1,069,672.19
  5. Step 5: Solve for x
    x = 1,069,672.19/1,147.57
  6. Step 6: Final answer
    x = 932.12

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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.