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Finding the Fourth Proportional to 653.46, 979.65 and 480.12

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Solution

The fourth proportional to 653.46, 979.65 and 480.12 is: 719.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.46 : 979.65 = 480.12 : x
  2. Step 2: Convert to fraction form
    653.46/979.65 = 480.12/x
  3. Step 3: Cross multiply
    653.46x = 979.65 × 480.12
  4. Step 4: Simplify right side
    653.46x = 470,349.56
  5. Step 5: Solve for x
    x = 470,349.56/653.46
  6. Step 6: Final answer
    x = 719.78

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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.