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Finding the Fourth Proportional to 711.62, 982.73 and 588.50

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Solution

The fourth proportional to 711.62, 982.73 and 588.50 is: 812.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.62 : 982.73 = 588.50 : x
  2. Step 2: Convert to fraction form
    711.62/982.73 = 588.50/x
  3. Step 3: Cross multiply
    711.62x = 982.73 × 588.50
  4. Step 4: Simplify right side
    711.62x = 578,336.61
  5. Step 5: Solve for x
    x = 578,336.61/711.62
  6. Step 6: Final answer
    x = 812.70

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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.