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Finding the Fourth Proportional to 697.40, 962.42 and 522.84

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Solution

The fourth proportional to 697.40, 962.42 and 522.84 is: 721.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.40 : 962.42 = 522.84 : x
  2. Step 2: Convert to fraction form
    697.40/962.42 = 522.84/x
  3. Step 3: Cross multiply
    697.40x = 962.42 × 522.84
  4. Step 4: Simplify right side
    697.40x = 503,191.67
  5. Step 5: Solve for x
    x = 503,191.67/697.40
  6. Step 6: Final answer
    x = 721.53

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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.