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Finding the Fourth Proportional to 1,105.74, 1,658.60 and 284.01

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Solution

The fourth proportional to 1,105.74, 1,658.60 and 284.01 is: 426.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.74 : 1,658.60 = 284.01 : x
  2. Step 2: Convert to fraction form
    1,105.74/1,658.60 = 284.01/x
  3. Step 3: Cross multiply
    1,105.74x = 1,658.60 × 284.01
  4. Step 4: Simplify right side
    1,105.74x = 471,058.99
  5. Step 5: Solve for x
    x = 471,058.99/1,105.74
  6. Step 6: Final answer
    x = 426.01

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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.