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Finding the Fourth Proportional to 698.68, 964.49 and 512.18

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Solution

The fourth proportional to 698.68, 964.49 and 512.18 is: 707.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.68 : 964.49 = 512.18 : x
  2. Step 2: Convert to fraction form
    698.68/964.49 = 512.18/x
  3. Step 3: Cross multiply
    698.68x = 964.49 × 512.18
  4. Step 4: Simplify right side
    698.68x = 493,992.49
  5. Step 5: Solve for x
    x = 493,992.49/698.68
  6. Step 6: Final answer
    x = 707.04

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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.