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Finding the Fourth Proportional to 890.69, 1,334.16 and 564.44

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Solution

The fourth proportional to 890.69, 1,334.16 and 564.44 is: 845.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.69 : 1,334.16 = 564.44 : x
  2. Step 2: Convert to fraction form
    890.69/1,334.16 = 564.44/x
  3. Step 3: Cross multiply
    890.69x = 1,334.16 × 564.44
  4. Step 4: Simplify right side
    890.69x = 753,046.60
  5. Step 5: Solve for x
    x = 753,046.60/890.69
  6. Step 6: Final answer
    x = 845.47

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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.