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Finding the Fourth Proportional to 788.27, 1,087.92 and 456.80

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Solution

The fourth proportional to 788.27, 1,087.92 and 456.80 is: 630.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.27 : 1,087.92 = 456.80 : x
  2. Step 2: Convert to fraction form
    788.27/1,087.92 = 456.80/x
  3. Step 3: Cross multiply
    788.27x = 1,087.92 × 456.80
  4. Step 4: Simplify right side
    788.27x = 496,961.86
  5. Step 5: Solve for x
    x = 496,961.86/788.27
  6. Step 6: Final answer
    x = 630.45

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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.