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Finding the Fourth Proportional to 777.72, 1,165.34 and 452.36

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Solution

The fourth proportional to 777.72, 1,165.34 and 452.36 is: 677.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.72 : 1,165.34 = 452.36 : x
  2. Step 2: Convert to fraction form
    777.72/1,165.34 = 452.36/x
  3. Step 3: Cross multiply
    777.72x = 1,165.34 × 452.36
  4. Step 4: Simplify right side
    777.72x = 527,153.20
  5. Step 5: Solve for x
    x = 527,153.20/777.72
  6. Step 6: Final answer
    x = 677.82

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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.