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Finding the Fourth Proportional to 844.14, 1,164.97 and 471.15

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Solution

The fourth proportional to 844.14, 1,164.97 and 471.15 is: 650.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.14 : 1,164.97 = 471.15 : x
  2. Step 2: Convert to fraction form
    844.14/1,164.97 = 471.15/x
  3. Step 3: Cross multiply
    844.14x = 1,164.97 × 471.15
  4. Step 4: Simplify right side
    844.14x = 548,875.62
  5. Step 5: Solve for x
    x = 548,875.62/844.14
  6. Step 6: Final answer
    x = 650.22

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1.5x scale

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.