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Finding the Fourth Proportional to 890.08, 1,333.20 and 564.64

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Solution

The fourth proportional to 890.08, 1,333.20 and 564.64 is: 845.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.08 : 1,333.20 = 564.64 : x
  2. Step 2: Convert to fraction form
    890.08/1,333.20 = 564.64/x
  3. Step 3: Cross multiply
    890.08x = 1,333.20 × 564.64
  4. Step 4: Simplify right side
    890.08x = 752,778.05
  5. Step 5: Solve for x
    x = 752,778.05/890.08
  6. Step 6: Final answer
    x = 845.74

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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.