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Finding the Fourth Proportional to 768.16, 1,060.20 and 457.84

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Solution

The fourth proportional to 768.16, 1,060.20 and 457.84 is: 631.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.16 : 1,060.20 = 457.84 : x
  2. Step 2: Convert to fraction form
    768.16/1,060.20 = 457.84/x
  3. Step 3: Cross multiply
    768.16x = 1,060.20 × 457.84
  4. Step 4: Simplify right side
    768.16x = 485,401.97
  5. Step 5: Solve for x
    x = 485,401.97/768.16
  6. Step 6: Final answer
    x = 631.90

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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.