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Finding the Fourth Proportional to 653.98, 979.16 and 546.16

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Solution

The fourth proportional to 653.98, 979.16 and 546.16 is: 817.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.98 : 979.16 = 546.16 : x
  2. Step 2: Convert to fraction form
    653.98/979.16 = 546.16/x
  3. Step 3: Cross multiply
    653.98x = 979.16 × 546.16
  4. Step 4: Simplify right side
    653.98x = 534,778.03
  5. Step 5: Solve for x
    x = 534,778.03/653.98
  6. Step 6: Final answer
    x = 817.73

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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.