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Finding the Fourth Proportional to 696.90, 961.20 and 475.50

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Solution

The fourth proportional to 696.90, 961.20 and 475.50 is: 655.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.90 : 961.20 = 475.50 : x
  2. Step 2: Convert to fraction form
    696.90/961.20 = 475.50/x
  3. Step 3: Cross multiply
    696.90x = 961.20 × 475.50
  4. Step 4: Simplify right side
    696.90x = 457,050.60
  5. Step 5: Solve for x
    x = 457,050.60/696.90
  6. Step 6: Final answer
    x = 655.83

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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.