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Finding the Fourth Proportional to 696.49, 960.89 and 460.87

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Solution

The fourth proportional to 696.49, 960.89 and 460.87 is: 635.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.49 : 960.89 = 460.87 : x
  2. Step 2: Convert to fraction form
    696.49/960.89 = 460.87/x
  3. Step 3: Cross multiply
    696.49x = 960.89 × 460.87
  4. Step 4: Simplify right side
    696.49x = 442,840.67
  5. Step 5: Solve for x
    x = 442,840.67/696.49
  6. Step 6: Final answer
    x = 635.82

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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.