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Finding the Fourth Proportional to 1,105.87, 1,658.79 and 284.14

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Solution

The fourth proportional to 1,105.87, 1,658.79 and 284.14 is: 426.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.87 : 1,658.79 = 284.14 : x
  2. Step 2: Convert to fraction form
    1,105.87/1,658.79 = 284.14/x
  3. Step 3: Cross multiply
    1,105.87x = 1,658.79 × 284.14
  4. Step 4: Simplify right side
    1,105.87x = 471,328.59
  5. Step 5: Solve for x
    x = 471,328.59/1,105.87
  6. Step 6: Final answer
    x = 426.21

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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.