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Finding the Fourth Proportional to 1,251.34, 1,726.89 and 830.96

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Solution

The fourth proportional to 1,251.34, 1,726.89 and 830.96 is: 1,146.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.34 : 1,726.89 = 830.96 : x
  2. Step 2: Convert to fraction form
    1,251.34/1,726.89 = 830.96/x
  3. Step 3: Cross multiply
    1,251.34x = 1,726.89 × 830.96
  4. Step 4: Simplify right side
    1,251.34x = 1,434,983.95
  5. Step 5: Solve for x
    x = 1,434,983.95/1,251.34
  6. Step 6: Final answer
    x = 1,146.76

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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.