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Finding the Fourth Proportional to 697.78, 962.13 and 522.82

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Solution

The fourth proportional to 697.78, 962.13 and 522.82 is: 720.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.78 : 962.13 = 522.82 : x
  2. Step 2: Convert to fraction form
    697.78/962.13 = 522.82/x
  3. Step 3: Cross multiply
    697.78x = 962.13 × 522.82
  4. Step 4: Simplify right side
    697.78x = 503,020.81
  5. Step 5: Solve for x
    x = 503,020.81/697.78
  6. Step 6: Final answer
    x = 720.89

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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.