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Finding the Fourth Proportional to 1,142.14, 1,575.51 and 693.73

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Solution

The fourth proportional to 1,142.14, 1,575.51 and 693.73 is: 956.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.14 : 1,575.51 = 693.73 : x
  2. Step 2: Convert to fraction form
    1,142.14/1,575.51 = 693.73/x
  3. Step 3: Cross multiply
    1,142.14x = 1,575.51 × 693.73
  4. Step 4: Simplify right side
    1,142.14x = 1,092,978.55
  5. Step 5: Solve for x
    x = 1,092,978.55/1,142.14
  6. Step 6: Final answer
    x = 956.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.