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Finding the Fourth Proportional to 696.06, 960.80 and 460.65

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Solution

The fourth proportional to 696.06, 960.80 and 460.65 is: 635.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.06 : 960.80 = 460.65 : x
  2. Step 2: Convert to fraction form
    696.06/960.80 = 460.65/x
  3. Step 3: Cross multiply
    696.06x = 960.80 × 460.65
  4. Step 4: Simplify right side
    696.06x = 442,592.52
  5. Step 5: Solve for x
    x = 442,592.52/696.06
  6. Step 6: Final answer
    x = 635.85

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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.