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Finding the Fourth Proportional to 768.64, 1,061.76 and 562.72

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Solution

The fourth proportional to 768.64, 1,061.76 and 562.72 is: 777.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.64 : 1,061.76 = 562.72 : x
  2. Step 2: Convert to fraction form
    768.64/1,061.76 = 562.72/x
  3. Step 3: Cross multiply
    768.64x = 1,061.76 × 562.72
  4. Step 4: Simplify right side
    768.64x = 597,473.59
  5. Step 5: Solve for x
    x = 597,473.59/768.64
  6. Step 6: Final answer
    x = 777.31

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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.