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Finding the Fourth Proportional to 1,142.78, 1,713.12 and 557.45

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Solution

The fourth proportional to 1,142.78, 1,713.12 and 557.45 is: 835.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.78 : 1,713.12 = 557.45 : x
  2. Step 2: Convert to fraction form
    1,142.78/1,713.12 = 557.45/x
  3. Step 3: Cross multiply
    1,142.78x = 1,713.12 × 557.45
  4. Step 4: Simplify right side
    1,142.78x = 954,978.74
  5. Step 5: Solve for x
    x = 954,978.74/1,142.78
  6. Step 6: Final answer
    x = 835.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.