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Finding the Fourth Proportional to 1,658.83, 2,488.97 and 685.57

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Solution

The fourth proportional to 1,658.83, 2,488.97 and 685.57 is: 1,028.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.83 : 2,488.97 = 685.57 : x
  2. Step 2: Convert to fraction form
    1,658.83/2,488.97 = 685.57/x
  3. Step 3: Cross multiply
    1,658.83x = 2,488.97 × 685.57
  4. Step 4: Simplify right side
    1,658.83x = 1,706,363.16
  5. Step 5: Solve for x
    x = 1,706,363.16/1,658.83
  6. Step 6: Final answer
    x = 1,028.65

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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.