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Finding the Fourth Proportional to 680.16, 937.68 and 524.64

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Solution

The fourth proportional to 680.16, 937.68 and 524.64 is: 723.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.16 : 937.68 = 524.64 : x
  2. Step 2: Convert to fraction form
    680.16/937.68 = 524.64/x
  3. Step 3: Cross multiply
    680.16x = 937.68 × 524.64
  4. Step 4: Simplify right side
    680.16x = 491,944.44
  5. Step 5: Solve for x
    x = 491,944.44/680.16
  6. Step 6: Final answer
    x = 723.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.