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Finding the Fourth Proportional to 1,478.26, 2,217.47 and 656.55

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Solution

The fourth proportional to 1,478.26, 2,217.47 and 656.55 is: 984.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.26 : 2,217.47 = 656.55 : x
  2. Step 2: Convert to fraction form
    1,478.26/2,217.47 = 656.55/x
  3. Step 3: Cross multiply
    1,478.26x = 2,217.47 × 656.55
  4. Step 4: Simplify right side
    1,478.26x = 1,455,876.65
  5. Step 5: Solve for x
    x = 1,455,876.65/1,478.26
  6. Step 6: Final answer
    x = 984.86

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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.