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Finding the Fourth Proportional to 788.72, 1,181.19 and 458.96

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Solution

The fourth proportional to 788.72, 1,181.19 and 458.96 is: 687.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.72 : 1,181.19 = 458.96 : x
  2. Step 2: Convert to fraction form
    788.72/1,181.19 = 458.96/x
  3. Step 3: Cross multiply
    788.72x = 1,181.19 × 458.96
  4. Step 4: Simplify right side
    788.72x = 542,114.78
  5. Step 5: Solve for x
    x = 542,114.78/788.72
  6. Step 6: Final answer
    x = 687.34

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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.