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Finding the Fourth Proportional to 844.32, 1,164.84 and 512.52

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Solution

The fourth proportional to 844.32, 1,164.84 and 512.52 is: 707.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.32 : 1,164.84 = 512.52 : x
  2. Step 2: Convert to fraction form
    844.32/1,164.84 = 512.52/x
  3. Step 3: Cross multiply
    844.32x = 1,164.84 × 512.52
  4. Step 4: Simplify right side
    844.32x = 597,003.80
  5. Step 5: Solve for x
    x = 597,003.80/844.32
  6. Step 6: Final answer
    x = 707.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.