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Finding the Fourth Proportional to 668.09, 1,002.33 and 564.30

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Solution

The fourth proportional to 668.09, 1,002.33 and 564.30 is: 846.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.09 : 1,002.33 = 564.30 : x
  2. Step 2: Convert to fraction form
    668.09/1,002.33 = 564.30/x
  3. Step 3: Cross multiply
    668.09x = 1,002.33 × 564.30
  4. Step 4: Simplify right side
    668.09x = 565,614.82
  5. Step 5: Solve for x
    x = 565,614.82/668.09
  6. Step 6: Final answer
    x = 846.61

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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.