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Finding the Fourth Proportional to 1,397.40, 1,929.31 and 866.85

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Solution

The fourth proportional to 1,397.40, 1,929.31 and 866.85 is: 1,196.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.40 : 1,929.31 = 866.85 : x
  2. Step 2: Convert to fraction form
    1,397.40/1,929.31 = 866.85/x
  3. Step 3: Cross multiply
    1,397.40x = 1,929.31 × 866.85
  4. Step 4: Simplify right side
    1,397.40x = 1,672,412.73
  5. Step 5: Solve for x
    x = 1,672,412.73/1,397.40
  6. Step 6: Final answer
    x = 1,196.81

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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.