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Finding the Fourth Proportional to 890.59, 1,228.41 and 580.09

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Solution

The fourth proportional to 890.59, 1,228.41 and 580.09 is: 800.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.59 : 1,228.41 = 580.09 : x
  2. Step 2: Convert to fraction form
    890.59/1,228.41 = 580.09/x
  3. Step 3: Cross multiply
    890.59x = 1,228.41 × 580.09
  4. Step 4: Simplify right side
    890.59x = 712,579.31
  5. Step 5: Solve for x
    x = 712,579.31/890.59
  6. Step 6: Final answer
    x = 800.12

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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.