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Finding the Fourth Proportional to 1,068.18, 1,472.49 and 752.41

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Solution

The fourth proportional to 1,068.18, 1,472.49 and 752.41 is: 1,037.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.18 : 1,472.49 = 752.41 : x
  2. Step 2: Convert to fraction form
    1,068.18/1,472.49 = 752.41/x
  3. Step 3: Cross multiply
    1,068.18x = 1,472.49 × 752.41
  4. Step 4: Simplify right side
    1,068.18x = 1,107,916.20
  5. Step 5: Solve for x
    x = 1,107,916.20/1,068.18
  6. Step 6: Final answer
    x = 1,037.20

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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.