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Finding the Fourth Proportional to 1,084.97, 1,497.44 and 807.05

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Solution

The fourth proportional to 1,084.97, 1,497.44 and 807.05 is: 1,113.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.97 : 1,497.44 = 807.05 : x
  2. Step 2: Convert to fraction form
    1,084.97/1,497.44 = 807.05/x
  3. Step 3: Cross multiply
    1,084.97x = 1,497.44 × 807.05
  4. Step 4: Simplify right side
    1,084.97x = 1,208,508.95
  5. Step 5: Solve for x
    x = 1,208,508.95/1,084.97
  6. Step 6: Final answer
    x = 1,113.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.