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Finding the Fourth Proportional to 1,221.57, 1,686.06 and 697.91

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Solution

The fourth proportional to 1,221.57, 1,686.06 and 697.91 is: 963.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.57 : 1,686.06 = 697.91 : x
  2. Step 2: Convert to fraction form
    1,221.57/1,686.06 = 697.91/x
  3. Step 3: Cross multiply
    1,221.57x = 1,686.06 × 697.91
  4. Step 4: Simplify right side
    1,221.57x = 1,176,709.70
  5. Step 5: Solve for x
    x = 1,176,709.70/1,221.57
  6. Step 6: Final answer
    x = 963.28

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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.