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Finding the Fourth Proportional to 1,023.38, 1,412.27 and 557.63

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Solution

The fourth proportional to 1,023.38, 1,412.27 and 557.63 is: 769.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.38 : 1,412.27 = 557.63 : x
  2. Step 2: Convert to fraction form
    1,023.38/1,412.27 = 557.63/x
  3. Step 3: Cross multiply
    1,023.38x = 1,412.27 × 557.63
  4. Step 4: Simplify right side
    1,023.38x = 787,524.12
  5. Step 5: Solve for x
    x = 787,524.12/1,023.38
  6. Step 6: Final answer
    x = 769.53

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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.