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Finding the Fourth Proportional to 1,633.10, 2,448.16 and 658.54

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Solution

The fourth proportional to 1,633.10, 2,448.16 and 658.54 is: 987.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.10 : 2,448.16 = 658.54 : x
  2. Step 2: Convert to fraction form
    1,633.10/2,448.16 = 658.54/x
  3. Step 3: Cross multiply
    1,633.10x = 2,448.16 × 658.54
  4. Step 4: Simplify right side
    1,633.10x = 1,612,211.29
  5. Step 5: Solve for x
    x = 1,612,211.29/1,633.10
  6. Step 6: Final answer
    x = 987.21

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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.