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Finding the Fourth Proportional to 767.88, 1,155.92 and 688.50

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Solution

The fourth proportional to 767.88, 1,155.92 and 688.50 is: 1,036.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.88 : 1,155.92 = 688.50 : x
  2. Step 2: Convert to fraction form
    767.88/1,155.92 = 688.50/x
  3. Step 3: Cross multiply
    767.88x = 1,155.92 × 688.50
  4. Step 4: Simplify right side
    767.88x = 795,847.48
  5. Step 5: Solve for x
    x = 795,847.48/767.88
  6. Step 6: Final answer
    x = 1,036.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.