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Finding the Fourth Proportional to 710.72, 984.59 and 693.71

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Solution

The fourth proportional to 710.72, 984.59 and 693.71 is: 961.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.72 : 984.59 = 693.71 : x
  2. Step 2: Convert to fraction form
    710.72/984.59 = 693.71/x
  3. Step 3: Cross multiply
    710.72x = 984.59 × 693.71
  4. Step 4: Simplify right side
    710.72x = 683,011.54
  5. Step 5: Solve for x
    x = 683,011.54/710.72
  6. Step 6: Final answer
    x = 961.02

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