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Finding the Fourth Proportional to 777.62, 1,166.13 and 412.18

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Solution

The fourth proportional to 777.62, 1,166.13 and 412.18 is: 618.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.62 : 1,166.13 = 412.18 : x
  2. Step 2: Convert to fraction form
    777.62/1,166.13 = 412.18/x
  3. Step 3: Cross multiply
    777.62x = 1,166.13 × 412.18
  4. Step 4: Simplify right side
    777.62x = 480,652.55
  5. Step 5: Solve for x
    x = 480,652.55/777.62
  6. Step 6: Final answer
    x = 618.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.