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Finding the Fourth Proportional to 1,105.64, 1,658.90 and 456.22

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Solution

The fourth proportional to 1,105.64, 1,658.90 and 456.22 is: 684.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.64 : 1,658.90 = 456.22 : x
  2. Step 2: Convert to fraction form
    1,105.64/1,658.90 = 456.22/x
  3. Step 3: Cross multiply
    1,105.64x = 1,658.90 × 456.22
  4. Step 4: Simplify right side
    1,105.64x = 756,826.57
  5. Step 5: Solve for x
    x = 756,826.57/1,105.64
  6. Step 6: Final answer
    x = 684.52

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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.