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Finding the Fourth Proportional to 696.06, 961.02 and 499.86

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Solution

The fourth proportional to 696.06, 961.02 and 499.86 is: 690.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.06 : 961.02 = 499.86 : x
  2. Step 2: Convert to fraction form
    696.06/961.02 = 499.86/x
  3. Step 3: Cross multiply
    696.06x = 961.02 × 499.86
  4. Step 4: Simplify right side
    696.06x = 480,375.46
  5. Step 5: Solve for x
    x = 480,375.46/696.06
  6. Step 6: Final answer
    x = 690.14

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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.