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Finding the Fourth Proportional to 706.81, 974.73 and 531.85

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Solution

The fourth proportional to 706.81, 974.73 and 531.85 is: 733.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.81 : 974.73 = 531.85 : x
  2. Step 2: Convert to fraction form
    706.81/974.73 = 531.85/x
  3. Step 3: Cross multiply
    706.81x = 974.73 × 531.85
  4. Step 4: Simplify right side
    706.81x = 518,410.15
  5. Step 5: Solve for x
    x = 518,410.15/706.81
  6. Step 6: Final answer
    x = 733.45

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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.