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Finding the Fourth Proportional to 778.42, 1,167.64 and 291.34

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Solution

The fourth proportional to 778.42, 1,167.64 and 291.34 is: 437.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.42 : 1,167.64 = 291.34 : x
  2. Step 2: Convert to fraction form
    778.42/1,167.64 = 291.34/x
  3. Step 3: Cross multiply
    778.42x = 1,167.64 × 291.34
  4. Step 4: Simplify right side
    778.42x = 340,180.24
  5. Step 5: Solve for x
    x = 340,180.24/778.42
  6. Step 6: Final answer
    x = 437.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.