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Finding the Fourth Proportional to 1,397.27, 1,929.14 and 866.72

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Solution

The fourth proportional to 1,397.27, 1,929.14 and 866.72 is: 1,196.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.27 : 1,929.14 = 866.72 : x
  2. Step 2: Convert to fraction form
    1,397.27/1,929.14 = 866.72/x
  3. Step 3: Cross multiply
    1,397.27x = 1,929.14 × 866.72
  4. Step 4: Simplify right side
    1,397.27x = 1,672,019.89
  5. Step 5: Solve for x
    x = 1,672,019.89/1,397.27
  6. Step 6: Final answer
    x = 1,196.63

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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.