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Finding the Fourth Proportional to 696.40, 961.14 and 500.56

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Solution

The fourth proportional to 696.40, 961.14 and 500.56 is: 690.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.40 : 961.14 = 500.56 : x
  2. Step 2: Convert to fraction form
    696.40/961.14 = 500.56/x
  3. Step 3: Cross multiply
    696.40x = 961.14 × 500.56
  4. Step 4: Simplify right side
    696.40x = 481,108.24
  5. Step 5: Solve for x
    x = 481,108.24/696.40
  6. Step 6: Final answer
    x = 690.85

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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.