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Finding the Fourth Proportional to 874.42, 1,311.86 and 289.53

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Solution

The fourth proportional to 874.42, 1,311.86 and 289.53 is: 434.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.42 : 1,311.86 = 289.53 : x
  2. Step 2: Convert to fraction form
    874.42/1,311.86 = 289.53/x
  3. Step 3: Cross multiply
    874.42x = 1,311.86 × 289.53
  4. Step 4: Simplify right side
    874.42x = 379,823.55
  5. Step 5: Solve for x
    x = 379,823.55/874.42
  6. Step 6: Final answer
    x = 434.37

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