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Finding the Fourth Proportional to 1,371.33, 2,056.32 and 397.17

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Solution

The fourth proportional to 1,371.33, 2,056.32 and 397.17 is: 595.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.33 : 2,056.32 = 397.17 : x
  2. Step 2: Convert to fraction form
    1,371.33/2,056.32 = 397.17/x
  3. Step 3: Cross multiply
    1,371.33x = 2,056.32 × 397.17
  4. Step 4: Simplify right side
    1,371.33x = 816,708.61
  5. Step 5: Solve for x
    x = 816,708.61/1,371.33
  6. Step 6: Final answer
    x = 595.56

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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.