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Finding the Fourth Proportional to 1,225.71, 1,691.77 and 753.91

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Solution

The fourth proportional to 1,225.71, 1,691.77 and 753.91 is: 1,040.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.71 : 1,691.77 = 753.91 : x
  2. Step 2: Convert to fraction form
    1,225.71/1,691.77 = 753.91/x
  3. Step 3: Cross multiply
    1,225.71x = 1,691.77 × 753.91
  4. Step 4: Simplify right side
    1,225.71x = 1,275,442.32
  5. Step 5: Solve for x
    x = 1,275,442.32/1,225.71
  6. Step 6: Final answer
    x = 1,040.57

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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.