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Finding the Fourth Proportional to 697.86, 960.39 and 522.90

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Solution

The fourth proportional to 697.86, 960.39 and 522.90 is: 719.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.86 : 960.39 = 522.90 : x
  2. Step 2: Convert to fraction form
    697.86/960.39 = 522.90/x
  3. Step 3: Cross multiply
    697.86x = 960.39 × 522.90
  4. Step 4: Simplify right side
    697.86x = 502,187.93
  5. Step 5: Solve for x
    x = 502,187.93/697.86
  6. Step 6: Final answer
    x = 719.61

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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.