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Finding the Fourth Proportional to 653.81, 980.33 and 448.61

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Solution

The fourth proportional to 653.81, 980.33 and 448.61 is: 672.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.81 : 980.33 = 448.61 : x
  2. Step 2: Convert to fraction form
    653.81/980.33 = 448.61/x
  3. Step 3: Cross multiply
    653.81x = 980.33 × 448.61
  4. Step 4: Simplify right side
    653.81x = 439,778.70
  5. Step 5: Solve for x
    x = 439,778.70/653.81
  6. Step 6: Final answer
    x = 672.65

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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.