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Finding the Fourth Proportional to 1,107.24, 1,658.46 and 674.76

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Solution

The fourth proportional to 1,107.24, 1,658.46 and 674.76 is: 1,010.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.24 : 1,658.46 = 674.76 : x
  2. Step 2: Convert to fraction form
    1,107.24/1,658.46 = 674.76/x
  3. Step 3: Cross multiply
    1,107.24x = 1,658.46 × 674.76
  4. Step 4: Simplify right side
    1,107.24x = 1,119,062.47
  5. Step 5: Solve for x
    x = 1,119,062.47/1,107.24
  6. Step 6: Final answer
    x = 1,010.68

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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.