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Finding the Fourth Proportional to 1,658.82, 2,488.14 and 684.93

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Solution

The fourth proportional to 1,658.82, 2,488.14 and 684.93 is: 1,027.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.82 : 2,488.14 = 684.93 : x
  2. Step 2: Convert to fraction form
    1,658.82/2,488.14 = 684.93/x
  3. Step 3: Cross multiply
    1,658.82x = 2,488.14 × 684.93
  4. Step 4: Simplify right side
    1,658.82x = 1,704,201.73
  5. Step 5: Solve for x
    x = 1,704,201.73/1,658.82
  6. Step 6: Final answer
    x = 1,027.36

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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.