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Finding the Fourth Proportional to 1,078.45, 1,488.24 and 658.73

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Solution

The fourth proportional to 1,078.45, 1,488.24 and 658.73 is: 909.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.45 : 1,488.24 = 658.73 : x
  2. Step 2: Convert to fraction form
    1,078.45/1,488.24 = 658.73/x
  3. Step 3: Cross multiply
    1,078.45x = 1,488.24 × 658.73
  4. Step 4: Simplify right side
    1,078.45x = 980,352.06
  5. Step 5: Solve for x
    x = 980,352.06/1,078.45
  6. Step 6: Final answer
    x = 909.04

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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.