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Finding the Fourth Proportional to 888.66, 1,333.17 and 523.71

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Solution

The fourth proportional to 888.66, 1,333.17 and 523.71 is: 785.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.66 : 1,333.17 = 523.71 : x
  2. Step 2: Convert to fraction form
    888.66/1,333.17 = 523.71/x
  3. Step 3: Cross multiply
    888.66x = 1,333.17 × 523.71
  4. Step 4: Simplify right side
    888.66x = 698,194.46
  5. Step 5: Solve for x
    x = 698,194.46/888.66
  6. Step 6: Final answer
    x = 785.67

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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.