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Finding the Fourth Proportional to 1,397.85, 2,097.17 and 565.17

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Solution

The fourth proportional to 1,397.85, 2,097.17 and 565.17 is: 847.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.85 : 2,097.17 = 565.17 : x
  2. Step 2: Convert to fraction form
    1,397.85/2,097.17 = 565.17/x
  3. Step 3: Cross multiply
    1,397.85x = 2,097.17 × 565.17
  4. Step 4: Simplify right side
    1,397.85x = 1,185,257.57
  5. Step 5: Solve for x
    x = 1,185,257.57/1,397.85
  6. Step 6: Final answer
    x = 847.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.