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Finding the Fourth Proportional to 1,422.60, 2,133.63 and 691.85

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Solution

The fourth proportional to 1,422.60, 2,133.63 and 691.85 is: 1,037.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.60 : 2,133.63 = 691.85 : x
  2. Step 2: Convert to fraction form
    1,422.60/2,133.63 = 691.85/x
  3. Step 3: Cross multiply
    1,422.60x = 2,133.63 × 691.85
  4. Step 4: Simplify right side
    1,422.60x = 1,476,141.25
  5. Step 5: Solve for x
    x = 1,476,141.25/1,422.60
  6. Step 6: Final answer
    x = 1,037.64

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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.