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Finding the Fourth Proportional to 1,658.52, 2,487.34 and 488.78

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Solution

The fourth proportional to 1,658.52, 2,487.34 and 488.78 is: 733.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.52 : 2,487.34 = 488.78 : x
  2. Step 2: Convert to fraction form
    1,658.52/2,487.34 = 488.78/x
  3. Step 3: Cross multiply
    1,658.52x = 2,487.34 × 488.78
  4. Step 4: Simplify right side
    1,658.52x = 1,215,762.05
  5. Step 5: Solve for x
    x = 1,215,762.05/1,658.52
  6. Step 6: Final answer
    x = 733.04

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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.