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Finding the Fourth Proportional to 890.36, 1,228.13 and 591.60

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Solution

The fourth proportional to 890.36, 1,228.13 and 591.60 is: 816.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.36 : 1,228.13 = 591.60 : x
  2. Step 2: Convert to fraction form
    890.36/1,228.13 = 591.60/x
  3. Step 3: Cross multiply
    890.36x = 1,228.13 × 591.60
  4. Step 4: Simplify right side
    890.36x = 726,558.75
  5. Step 5: Solve for x
    x = 726,558.75/890.36
  6. Step 6: Final answer
    x = 816.03

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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.