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Finding the Fourth Proportional to 788.04, 1,181.52 and 354.96

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Solution

The fourth proportional to 788.04, 1,181.52 and 354.96 is: 532.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.04 : 1,181.52 = 354.96 : x
  2. Step 2: Convert to fraction form
    788.04/1,181.52 = 354.96/x
  3. Step 3: Cross multiply
    788.04x = 1,181.52 × 354.96
  4. Step 4: Simplify right side
    788.04x = 419,392.34
  5. Step 5: Solve for x
    x = 419,392.34/788.04
  6. Step 6: Final answer
    x = 532.20

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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.