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Finding the Fourth Proportional to 1,084.57, 1,496.62 and 636.40

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Solution

The fourth proportional to 1,084.57, 1,496.62 and 636.40 is: 878.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.57 : 1,496.62 = 636.40 : x
  2. Step 2: Convert to fraction form
    1,084.57/1,496.62 = 636.40/x
  3. Step 3: Cross multiply
    1,084.57x = 1,496.62 × 636.40
  4. Step 4: Simplify right side
    1,084.57x = 952,442.32
  5. Step 5: Solve for x
    x = 952,442.32/1,084.57
  6. Step 6: Final answer
    x = 878.17

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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.