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Finding the Fourth Proportional to 722.52, 996.29 and 652.56

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Solution

The fourth proportional to 722.52, 996.29 and 652.56 is: 899.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.52 : 996.29 = 652.56 : x
  2. Step 2: Convert to fraction form
    722.52/996.29 = 652.56/x
  3. Step 3: Cross multiply
    722.52x = 996.29 × 652.56
  4. Step 4: Simplify right side
    722.52x = 650,135.74
  5. Step 5: Solve for x
    x = 650,135.74/722.52
  6. Step 6: Final answer
    x = 899.82

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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.