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Finding the Fourth Proportional to 1,156.97, 1,725.62 and 1,084.07

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Solution

The fourth proportional to 1,156.97, 1,725.62 and 1,084.07 is: 1,616.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.97 : 1,725.62 = 1,084.07 : x
  2. Step 2: Convert to fraction form
    1,156.97/1,725.62 = 1,084.07/x
  3. Step 3: Cross multiply
    1,156.97x = 1,725.62 × 1,084.07
  4. Step 4: Simplify right side
    1,156.97x = 1,870,678.82
  5. Step 5: Solve for x
    x = 1,870,678.82/1,156.97
  6. Step 6: Final answer
    x = 1,616.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.