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Finding the Fourth Proportional to 696.60, 963.60 and 649.32

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Solution

The fourth proportional to 696.60, 963.60 and 649.32 is: 898.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.60 : 963.60 = 649.32 : x
  2. Step 2: Convert to fraction form
    696.60/963.60 = 649.32/x
  3. Step 3: Cross multiply
    696.60x = 963.60 × 649.32
  4. Step 4: Simplify right side
    696.60x = 625,684.75
  5. Step 5: Solve for x
    x = 625,684.75/696.60
  6. Step 6: Final answer
    x = 898.20

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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.