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Finding the Fourth Proportional to 697.46, 961.96 and 510.88

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Solution

The fourth proportional to 697.46, 961.96 and 510.88 is: 704.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.46 : 961.96 = 510.88 : x
  2. Step 2: Convert to fraction form
    697.46/961.96 = 510.88/x
  3. Step 3: Cross multiply
    697.46x = 961.96 × 510.88
  4. Step 4: Simplify right side
    697.46x = 491,444.85
  5. Step 5: Solve for x
    x = 491,444.85/697.46
  6. Step 6: Final answer
    x = 704.62

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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.