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Finding the Fourth Proportional to 1,726.44, 2,589.72 and 686.64

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Solution

The fourth proportional to 1,726.44, 2,589.72 and 686.64 is: 1,029.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.44 : 2,589.72 = 686.64 : x
  2. Step 2: Convert to fraction form
    1,726.44/2,589.72 = 686.64/x
  3. Step 3: Cross multiply
    1,726.44x = 2,589.72 × 686.64
  4. Step 4: Simplify right side
    1,726.44x = 1,778,205.34
  5. Step 5: Solve for x
    x = 1,778,205.34/1,726.44
  6. Step 6: Final answer
    x = 1,029.98

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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.