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Finding the Fourth Proportional to 767.76, 1,060.20 and 698.64

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Solution

The fourth proportional to 767.76, 1,060.20 and 698.64 is: 964.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.76 : 1,060.20 = 698.64 : x
  2. Step 2: Convert to fraction form
    767.76/1,060.20 = 698.64/x
  3. Step 3: Cross multiply
    767.76x = 1,060.20 × 698.64
  4. Step 4: Simplify right side
    767.76x = 740,698.13
  5. Step 5: Solve for x
    x = 740,698.13/767.76
  6. Step 6: Final answer
    x = 964.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.