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Finding the Fourth Proportional to 722.67, 994.71 and 535.84

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Solution

The fourth proportional to 722.67, 994.71 and 535.84 is: 737.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.67 : 994.71 = 535.84 : x
  2. Step 2: Convert to fraction form
    722.67/994.71 = 535.84/x
  3. Step 3: Cross multiply
    722.67x = 994.71 × 535.84
  4. Step 4: Simplify right side
    722.67x = 533,002.92
  5. Step 5: Solve for x
    x = 533,002.92/722.67
  6. Step 6: Final answer
    x = 737.55

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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.