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Finding the Fourth Proportional to 680.72, 939.86 and 456.99

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Solution

The fourth proportional to 680.72, 939.86 and 456.99 is: 630.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.72 : 939.86 = 456.99 : x
  2. Step 2: Convert to fraction form
    680.72/939.86 = 456.99/x
  3. Step 3: Cross multiply
    680.72x = 939.86 × 456.99
  4. Step 4: Simplify right side
    680.72x = 429,501.99
  5. Step 5: Solve for x
    x = 429,501.99/680.72
  6. Step 6: Final answer
    x = 630.95

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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.