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Finding the Fourth Proportional to 1,142.23, 1,575.24 and 763.45

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Solution

The fourth proportional to 1,142.23, 1,575.24 and 763.45 is: 1,052.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.23 : 1,575.24 = 763.45 : x
  2. Step 2: Convert to fraction form
    1,142.23/1,575.24 = 763.45/x
  3. Step 3: Cross multiply
    1,142.23x = 1,575.24 × 763.45
  4. Step 4: Simplify right side
    1,142.23x = 1,202,616.98
  5. Step 5: Solve for x
    x = 1,202,616.98/1,142.23
  6. Step 6: Final answer
    x = 1,052.87

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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.