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Finding the Fourth Proportional to 697, 961.50 and 522.28

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Solution

The fourth proportional to 697, 961.50 and 522.28 is: 720.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    697 : 961.50 = 522.28 : x
  2. Step 2: Convert to fraction form
    697/961.50 = 522.28/x
  3. Step 3: Cross multiply
    697x = 961.50 × 522.28
  4. Step 4: Simplify right side
    697x = 502,172.22
  5. Step 5: Solve for x
    x = 502,172.22/697
  6. Step 6: Final answer
    x = 720.48

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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.