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Finding the Fourth Proportional to 1,106.82, 1,658.97 and 456.76

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Solution

The fourth proportional to 1,106.82, 1,658.97 and 456.76 is: 684.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.82 : 1,658.97 = 456.76 : x
  2. Step 2: Convert to fraction form
    1,106.82/1,658.97 = 456.76/x
  3. Step 3: Cross multiply
    1,106.82x = 1,658.97 × 456.76
  4. Step 4: Simplify right side
    1,106.82x = 757,751.14
  5. Step 5: Solve for x
    x = 757,751.14/1,106.82
  6. Step 6: Final answer
    x = 684.62

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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.