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Finding the Fourth Proportional to 779.34, 1,167.98 and 316.87

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Solution

The fourth proportional to 779.34, 1,167.98 and 316.87 is: 474.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.34 : 1,167.98 = 316.87 : x
  2. Step 2: Convert to fraction form
    779.34/1,167.98 = 316.87/x
  3. Step 3: Cross multiply
    779.34x = 1,167.98 × 316.87
  4. Step 4: Simplify right side
    779.34x = 370,091.98
  5. Step 5: Solve for x
    x = 370,091.98/779.34
  6. Step 6: Final answer
    x = 474.88

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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.