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Finding the Fourth Proportional to 1,378.47, 1,902.41 and 757.59

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Solution

The fourth proportional to 1,378.47, 1,902.41 and 757.59 is: 1,045.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.47 : 1,902.41 = 757.59 : x
  2. Step 2: Convert to fraction form
    1,378.47/1,902.41 = 757.59/x
  3. Step 3: Cross multiply
    1,378.47x = 1,902.41 × 757.59
  4. Step 4: Simplify right side
    1,378.47x = 1,441,244.90
  5. Step 5: Solve for x
    x = 1,441,244.90/1,378.47
  6. Step 6: Final answer
    x = 1,045.54

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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.