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Finding the Fourth Proportional to 696.48, 962.28 and 522.96

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Solution

The fourth proportional to 696.48, 962.28 and 522.96 is: 722.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.48 : 962.28 = 522.96 : x
  2. Step 2: Convert to fraction form
    696.48/962.28 = 522.96/x
  3. Step 3: Cross multiply
    696.48x = 962.28 × 522.96
  4. Step 4: Simplify right side
    696.48x = 503,233.95
  5. Step 5: Solve for x
    x = 503,233.95/696.48
  6. Step 6: Final answer
    x = 722.54

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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.