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Finding the Fourth Proportional to 1,726.59, 2,590.49 and 686.25

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Solution

The fourth proportional to 1,726.59, 2,590.49 and 686.25 is: 1,029.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.59 : 2,590.49 = 686.25 : x
  2. Step 2: Convert to fraction form
    1,726.59/2,590.49 = 686.25/x
  3. Step 3: Cross multiply
    1,726.59x = 2,590.49 × 686.25
  4. Step 4: Simplify right side
    1,726.59x = 1,777,723.76
  5. Step 5: Solve for x
    x = 1,777,723.76/1,726.59
  6. Step 6: Final answer
    x = 1,029.62

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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.