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Finding the Fourth Proportional to 884.89, 1,325.78 and 591.67

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Solution

The fourth proportional to 884.89, 1,325.78 and 591.67 is: 886.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.89 : 1,325.78 = 591.67 : x
  2. Step 2: Convert to fraction form
    884.89/1,325.78 = 591.67/x
  3. Step 3: Cross multiply
    884.89x = 1,325.78 × 591.67
  4. Step 4: Simplify right side
    884.89x = 784,424.25
  5. Step 5: Solve for x
    x = 784,424.25/884.89
  6. Step 6: Final answer
    x = 886.47

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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.