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Finding the Fourth Proportional to 777.88, 1,165.78 and 412.28

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Solution

The fourth proportional to 777.88, 1,165.78 and 412.28 is: 617.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.88 : 1,165.78 = 412.28 : x
  2. Step 2: Convert to fraction form
    777.88/1,165.78 = 412.28/x
  3. Step 3: Cross multiply
    777.88x = 1,165.78 × 412.28
  4. Step 4: Simplify right side
    777.88x = 480,627.78
  5. Step 5: Solve for x
    x = 480,627.78/777.88
  6. Step 6: Final answer
    x = 617.87

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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.