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Finding the Fourth Proportional to 844.02, 1,164.06 and 564.30

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Solution

The fourth proportional to 844.02, 1,164.06 and 564.30 is: 778.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.02 : 1,164.06 = 564.30 : x
  2. Step 2: Convert to fraction form
    844.02/1,164.06 = 564.30/x
  3. Step 3: Cross multiply
    844.02x = 1,164.06 × 564.30
  4. Step 4: Simplify right side
    844.02x = 656,879.06
  5. Step 5: Solve for x
    x = 656,879.06/844.02
  6. Step 6: Final answer
    x = 778.27

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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.