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Finding the Fourth Proportional to 1,084.59, 1,497.29 and 848.12

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Solution

The fourth proportional to 1,084.59, 1,497.29 and 848.12 is: 1,170.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.59 : 1,497.29 = 848.12 : x
  2. Step 2: Convert to fraction form
    1,084.59/1,497.29 = 848.12/x
  3. Step 3: Cross multiply
    1,084.59x = 1,497.29 × 848.12
  4. Step 4: Simplify right side
    1,084.59x = 1,269,869.87
  5. Step 5: Solve for x
    x = 1,269,869.87/1,084.59
  6. Step 6: Final answer
    x = 1,170.83

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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.