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Finding the Fourth Proportional to 1,084.35, 1,497.84 and 966.79

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Solution

The fourth proportional to 1,084.35, 1,497.84 and 966.79 is: 1,335.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.35 : 1,497.84 = 966.79 : x
  2. Step 2: Convert to fraction form
    1,084.35/1,497.84 = 966.79/x
  3. Step 3: Cross multiply
    1,084.35x = 1,497.84 × 966.79
  4. Step 4: Simplify right side
    1,084.35x = 1,448,096.73
  5. Step 5: Solve for x
    x = 1,448,096.73/1,084.35
  6. Step 6: Final answer
    x = 1,335.45

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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.