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Finding the Fourth Proportional to 1,131.78, 1,562.31 and 712.74

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Solution

The fourth proportional to 1,131.78, 1,562.31 and 712.74 is: 983.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.78 : 1,562.31 = 712.74 : x
  2. Step 2: Convert to fraction form
    1,131.78/1,562.31 = 712.74/x
  3. Step 3: Cross multiply
    1,131.78x = 1,562.31 × 712.74
  4. Step 4: Simplify right side
    1,131.78x = 1,113,520.83
  5. Step 5: Solve for x
    x = 1,113,520.83/1,131.78
  6. Step 6: Final answer
    x = 983.87

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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.