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Finding the Fourth Proportional to 688.82, 951.86 and 522.72

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Solution

The fourth proportional to 688.82, 951.86 and 522.72 is: 722.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.82 : 951.86 = 522.72 : x
  2. Step 2: Convert to fraction form
    688.82/951.86 = 522.72/x
  3. Step 3: Cross multiply
    688.82x = 951.86 × 522.72
  4. Step 4: Simplify right side
    688.82x = 497,556.26
  5. Step 5: Solve for x
    x = 497,556.26/688.82
  6. Step 6: Final answer
    x = 722.33

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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.