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Finding the Fourth Proportional to 1,217.63, 1,680.35 and 658.11

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Solution

The fourth proportional to 1,217.63, 1,680.35 and 658.11 is: 908.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.63 : 1,680.35 = 658.11 : x
  2. Step 2: Convert to fraction form
    1,217.63/1,680.35 = 658.11/x
  3. Step 3: Cross multiply
    1,217.63x = 1,680.35 × 658.11
  4. Step 4: Simplify right side
    1,217.63x = 1,105,855.79
  5. Step 5: Solve for x
    x = 1,105,855.79/1,217.63
  6. Step 6: Final answer
    x = 908.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.