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Finding the Fourth Proportional to 777.13, 1,166.55 and 411.82

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Solution

The fourth proportional to 777.13, 1,166.55 and 411.82 is: 618.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.13 : 1,166.55 = 411.82 : x
  2. Step 2: Convert to fraction form
    777.13/1,166.55 = 411.82/x
  3. Step 3: Cross multiply
    777.13x = 1,166.55 × 411.82
  4. Step 4: Simplify right side
    777.13x = 480,408.62
  5. Step 5: Solve for x
    x = 480,408.62/777.13
  6. Step 6: Final answer
    x = 618.18

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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.