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Finding the Fourth Proportional to 710.34, 984.07 and 693.33

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Solution

The fourth proportional to 710.34, 984.07 and 693.33 is: 960.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.34 : 984.07 = 693.33 : x
  2. Step 2: Convert to fraction form
    710.34/984.07 = 693.33/x
  3. Step 3: Cross multiply
    710.34x = 984.07 × 693.33
  4. Step 4: Simplify right side
    710.34x = 682,278.53
  5. Step 5: Solve for x
    x = 682,278.53/710.34
  6. Step 6: Final answer
    x = 960.50

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.