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Finding the Fourth Proportional to 1,314.39, 1,972.46 and 544.89

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Solution

The fourth proportional to 1,314.39, 1,972.46 and 544.89 is: 817.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.39 : 1,972.46 = 544.89 : x
  2. Step 2: Convert to fraction form
    1,314.39/1,972.46 = 544.89/x
  3. Step 3: Cross multiply
    1,314.39x = 1,972.46 × 544.89
  4. Step 4: Simplify right side
    1,314.39x = 1,074,761.14
  5. Step 5: Solve for x
    x = 1,074,761.14/1,314.39
  6. Step 6: Final answer
    x = 817.69

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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.