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Finding the Fourth Proportional to 1,106.11, 1,658.49 and 456.04

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Solution

The fourth proportional to 1,106.11, 1,658.49 and 456.04 is: 683.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.11 : 1,658.49 = 456.04 : x
  2. Step 2: Convert to fraction form
    1,106.11/1,658.49 = 456.04/x
  3. Step 3: Cross multiply
    1,106.11x = 1,658.49 × 456.04
  4. Step 4: Simplify right side
    1,106.11x = 756,337.78
  5. Step 5: Solve for x
    x = 756,337.78/1,106.11
  6. Step 6: Final answer
    x = 683.78

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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.