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Finding the Fourth Proportional to 1,142.74, 1,713.75 and 725.98

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Solution

The fourth proportional to 1,142.74, 1,713.75 and 725.98 is: 1,088.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.74 : 1,713.75 = 725.98 : x
  2. Step 2: Convert to fraction form
    1,142.74/1,713.75 = 725.98/x
  3. Step 3: Cross multiply
    1,142.74x = 1,713.75 × 725.98
  4. Step 4: Simplify right side
    1,142.74x = 1,244,148.23
  5. Step 5: Solve for x
    x = 1,244,148.23/1,142.74
  6. Step 6: Final answer
    x = 1,088.74

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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.