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Finding the Fourth Proportional to 1,251.60, 1,726.06 and 1,029.24

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Solution

The fourth proportional to 1,251.60, 1,726.06 and 1,029.24 is: 1,419.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.60 : 1,726.06 = 1,029.24 : x
  2. Step 2: Convert to fraction form
    1,251.60/1,726.06 = 1,029.24/x
  3. Step 3: Cross multiply
    1,251.60x = 1,726.06 × 1,029.24
  4. Step 4: Simplify right side
    1,251.60x = 1,776,529.99
  5. Step 5: Solve for x
    x = 1,776,529.99/1,251.60
  6. Step 6: Final answer
    x = 1,419.41

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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.