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Finding the Fourth Proportional to 779.68, 1,167.64 and 454.08

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Solution

The fourth proportional to 779.68, 1,167.64 and 454.08 is: 680.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.68 : 1,167.64 = 454.08 : x
  2. Step 2: Convert to fraction form
    779.68/1,167.64 = 454.08/x
  3. Step 3: Cross multiply
    779.68x = 1,167.64 × 454.08
  4. Step 4: Simplify right side
    779.68x = 530,201.97
  5. Step 5: Solve for x
    x = 530,201.97/779.68
  6. Step 6: Final answer
    x = 680.03

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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.