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Finding the Fourth Proportional to 890.62, 1,228.46 and 591.86

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Solution

The fourth proportional to 890.62, 1,228.46 and 591.86 is: 816.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.62 : 1,228.46 = 591.86 : x
  2. Step 2: Convert to fraction form
    890.62/1,228.46 = 591.86/x
  3. Step 3: Cross multiply
    890.62x = 1,228.46 × 591.86
  4. Step 4: Simplify right side
    890.62x = 727,076.34
  5. Step 5: Solve for x
    x = 727,076.34/890.62
  6. Step 6: Final answer
    x = 816.37

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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.