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Finding the Fourth Proportional to 844.18, 1,164.80 and 471.14

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Solution

The fourth proportional to 844.18, 1,164.80 and 471.14 is: 650.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.18 : 1,164.80 = 471.14 : x
  2. Step 2: Convert to fraction form
    844.18/1,164.80 = 471.14/x
  3. Step 3: Cross multiply
    844.18x = 1,164.80 × 471.14
  4. Step 4: Simplify right side
    844.18x = 548,783.87
  5. Step 5: Solve for x
    x = 548,783.87/844.18
  6. Step 6: Final answer
    x = 650.08

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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.