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Finding the Fourth Proportional to 779.05, 1,167.56 and 316.28

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Solution

The fourth proportional to 779.05, 1,167.56 and 316.28 is: 474.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.05 : 1,167.56 = 316.28 : x
  2. Step 2: Convert to fraction form
    779.05/1,167.56 = 316.28/x
  3. Step 3: Cross multiply
    779.05x = 1,167.56 × 316.28
  4. Step 4: Simplify right side
    779.05x = 369,275.88
  5. Step 5: Solve for x
    x = 369,275.88/779.05
  6. Step 6: Final answer
    x = 474.01

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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.