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Finding the Fourth Proportional to 1,378.18, 1,901.91 and 748.72

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Solution

The fourth proportional to 1,378.18, 1,901.91 and 748.72 is: 1,033.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.18 : 1,901.91 = 748.72 : x
  2. Step 2: Convert to fraction form
    1,378.18/1,901.91 = 748.72/x
  3. Step 3: Cross multiply
    1,378.18x = 1,901.91 × 748.72
  4. Step 4: Simplify right side
    1,378.18x = 1,423,998.06
  5. Step 5: Solve for x
    x = 1,423,998.06/1,378.18
  6. Step 6: Final answer
    x = 1,033.25

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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.