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Finding the Fourth Proportional to 777.66, 1,165.50 and 412.22

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Solution

The fourth proportional to 777.66, 1,165.50 and 412.22 is: 617.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.66 : 1,165.50 = 412.22 : x
  2. Step 2: Convert to fraction form
    777.66/1,165.50 = 412.22/x
  3. Step 3: Cross multiply
    777.66x = 1,165.50 × 412.22
  4. Step 4: Simplify right side
    777.66x = 480,442.41
  5. Step 5: Solve for x
    x = 480,442.41/777.66
  6. Step 6: Final answer
    x = 617.81

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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.