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Finding the Fourth Proportional to 779.24, 1,169.40 and 454.16

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Solution

The fourth proportional to 779.24, 1,169.40 and 454.16 is: 681.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.24 : 1,169.40 = 454.16 : x
  2. Step 2: Convert to fraction form
    779.24/1,169.40 = 454.16/x
  3. Step 3: Cross multiply
    779.24x = 1,169.40 × 454.16
  4. Step 4: Simplify right side
    779.24x = 531,094.70
  5. Step 5: Solve for x
    x = 531,094.70/779.24
  6. Step 6: Final answer
    x = 681.55

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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.