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Finding the Fourth Proportional to 1,225.41, 1,691.04 and 665.87

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Solution

The fourth proportional to 1,225.41, 1,691.04 and 665.87 is: 918.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.41 : 1,691.04 = 665.87 : x
  2. Step 2: Convert to fraction form
    1,225.41/1,691.04 = 665.87/x
  3. Step 3: Cross multiply
    1,225.41x = 1,691.04 × 665.87
  4. Step 4: Simplify right side
    1,225.41x = 1,126,004.35
  5. Step 5: Solve for x
    x = 1,126,004.35/1,225.41
  6. Step 6: Final answer
    x = 918.88

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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.