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Finding the Fourth Proportional to 711.67, 979.95 and 593.41

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Solution

The fourth proportional to 711.67, 979.95 and 593.41 is: 817.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.67 : 979.95 = 593.41 : x
  2. Step 2: Convert to fraction form
    711.67/979.95 = 593.41/x
  3. Step 3: Cross multiply
    711.67x = 979.95 × 593.41
  4. Step 4: Simplify right side
    711.67x = 581,512.13
  5. Step 5: Solve for x
    x = 581,512.13/711.67
  6. Step 6: Final answer
    x = 817.11

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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.