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Finding the Fourth Proportional to 1,422.05, 2,133.68 and 691.63

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Solution

The fourth proportional to 1,422.05, 2,133.68 and 691.63 is: 1,037.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.05 : 2,133.68 = 691.63 : x
  2. Step 2: Convert to fraction form
    1,422.05/2,133.68 = 691.63/x
  3. Step 3: Cross multiply
    1,422.05x = 2,133.68 × 691.63
  4. Step 4: Simplify right side
    1,422.05x = 1,475,708.31
  5. Step 5: Solve for x
    x = 1,475,708.31/1,422.05
  6. Step 6: Final answer
    x = 1,037.74

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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.