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Finding the Fourth Proportional to 653.60, 980.19 and 576.65

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Solution

The fourth proportional to 653.60, 980.19 and 576.65 is: 864.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.60 : 980.19 = 576.65 : x
  2. Step 2: Convert to fraction form
    653.60/980.19 = 576.65/x
  3. Step 3: Cross multiply
    653.60x = 980.19 × 576.65
  4. Step 4: Simplify right side
    653.60x = 565,221.66
  5. Step 5: Solve for x
    x = 565,221.66/653.60
  6. Step 6: Final answer
    x = 864.79

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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.