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Finding the Fourth Proportional to 698.23, 964.43 and 511.44

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Solution

The fourth proportional to 698.23, 964.43 and 511.44 is: 706.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.23 : 964.43 = 511.44 : x
  2. Step 2: Convert to fraction form
    698.23/964.43 = 511.44/x
  3. Step 3: Cross multiply
    698.23x = 964.43 × 511.44
  4. Step 4: Simplify right side
    698.23x = 493,248.08
  5. Step 5: Solve for x
    x = 493,248.08/698.23
  6. Step 6: Final answer
    x = 706.43

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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.