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Finding the Fourth Proportional to 591.70, 888.18 and 523.66

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Solution

The fourth proportional to 591.70, 888.18 and 523.66 is: 786.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.70 : 888.18 = 523.66 : x
  2. Step 2: Convert to fraction form
    591.70/888.18 = 523.66/x
  3. Step 3: Cross multiply
    591.70x = 888.18 × 523.66
  4. Step 4: Simplify right side
    591.70x = 465,104.34
  5. Step 5: Solve for x
    x = 465,104.34/591.70
  6. Step 6: Final answer
    x = 786.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.