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Finding the Fourth Proportional to 1,120.26, 1,680.68 and 658.45

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Solution

The fourth proportional to 1,120.26, 1,680.68 and 658.45 is: 987.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.26 : 1,680.68 = 658.45 : x
  2. Step 2: Convert to fraction form
    1,120.26/1,680.68 = 658.45/x
  3. Step 3: Cross multiply
    1,120.26x = 1,680.68 × 658.45
  4. Step 4: Simplify right side
    1,120.26x = 1,106,643.75
  5. Step 5: Solve for x
    x = 1,106,643.75/1,120.26
  6. Step 6: Final answer
    x = 987.85

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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.