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Finding the Fourth Proportional to 1,105.33, 1,658.03 and 456.12

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Solution

The fourth proportional to 1,105.33, 1,658.03 and 456.12 is: 684.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.33 : 1,658.03 = 456.12 : x
  2. Step 2: Convert to fraction form
    1,105.33/1,658.03 = 456.12/x
  3. Step 3: Cross multiply
    1,105.33x = 1,658.03 × 456.12
  4. Step 4: Simplify right side
    1,105.33x = 756,260.64
  5. Step 5: Solve for x
    x = 756,260.64/1,105.33
  6. Step 6: Final answer
    x = 684.19

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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.