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Finding the Fourth Proportional to 768.56, 1,147.30 and 713.88

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Solution

The fourth proportional to 768.56, 1,147.30 and 713.88 is: 1,065.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.56 : 1,147.30 = 713.88 : x
  2. Step 2: Convert to fraction form
    768.56/1,147.30 = 713.88/x
  3. Step 3: Cross multiply
    768.56x = 1,147.30 × 713.88
  4. Step 4: Simplify right side
    768.56x = 819,032.74
  5. Step 5: Solve for x
    x = 819,032.74/768.56
  6. Step 6: Final answer
    x = 1,065.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.