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Finding the Fourth Proportional to 697.64, 961.41 and 500.81

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Solution

The fourth proportional to 697.64, 961.41 and 500.81 is: 690.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.64 : 961.41 = 500.81 : x
  2. Step 2: Convert to fraction form
    697.64/961.41 = 500.81/x
  3. Step 3: Cross multiply
    697.64x = 961.41 × 500.81
  4. Step 4: Simplify right side
    697.64x = 481,478.94
  5. Step 5: Solve for x
    x = 481,478.94/697.64
  6. Step 6: Final answer
    x = 690.16

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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.