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Finding the Fourth Proportional to 1,147.43, 1,581.01 and 773.76

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Solution

The fourth proportional to 1,147.43, 1,581.01 and 773.76 is: 1,066.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.43 : 1,581.01 = 773.76 : x
  2. Step 2: Convert to fraction form
    1,147.43/1,581.01 = 773.76/x
  3. Step 3: Cross multiply
    1,147.43x = 1,581.01 × 773.76
  4. Step 4: Simplify right side
    1,147.43x = 1,223,319.87
  5. Step 5: Solve for x
    x = 1,223,319.87/1,147.43
  6. Step 6: Final answer
    x = 1,066.14

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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.