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Finding the Fourth Proportional to 671.84, 1,002.96 and 516.88

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Solution

The fourth proportional to 671.84, 1,002.96 and 516.88 is: 771.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.84 : 1,002.96 = 516.88 : x
  2. Step 2: Convert to fraction form
    671.84/1,002.96 = 516.88/x
  3. Step 3: Cross multiply
    671.84x = 1,002.96 × 516.88
  4. Step 4: Simplify right side
    671.84x = 518,409.96
  5. Step 5: Solve for x
    x = 518,409.96/671.84
  6. Step 6: Final answer
    x = 771.63

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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.