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Finding the Fourth Proportional to 697.98, 960.37 and 640.38

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Solution

The fourth proportional to 697.98, 960.37 and 640.38 is: 881.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.98 : 960.37 = 640.38 : x
  2. Step 2: Convert to fraction form
    697.98/960.37 = 640.38/x
  3. Step 3: Cross multiply
    697.98x = 960.37 × 640.38
  4. Step 4: Simplify right side
    697.98x = 615,001.74
  5. Step 5: Solve for x
    x = 615,001.74/697.98
  6. Step 6: Final answer
    x = 881.12

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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.