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Finding the Fourth Proportional to 788.56, 1,088.25 and 456.96

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Solution

The fourth proportional to 788.56, 1,088.25 and 456.96 is: 630.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.56 : 1,088.25 = 456.96 : x
  2. Step 2: Convert to fraction form
    788.56/1,088.25 = 456.96/x
  3. Step 3: Cross multiply
    788.56x = 1,088.25 × 456.96
  4. Step 4: Simplify right side
    788.56x = 497,286.72
  5. Step 5: Solve for x
    x = 497,286.72/788.56
  6. Step 6: Final answer
    x = 630.63

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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.