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Finding the Fourth Proportional to 883.44, 1,323.54 and 559.44

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Solution

The fourth proportional to 883.44, 1,323.54 and 559.44 is: 838.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.44 : 1,323.54 = 559.44 : x
  2. Step 2: Convert to fraction form
    883.44/1,323.54 = 559.44/x
  3. Step 3: Cross multiply
    883.44x = 1,323.54 × 559.44
  4. Step 4: Simplify right side
    883.44x = 740,441.22
  5. Step 5: Solve for x
    x = 740,441.22/883.44
  6. Step 6: Final answer
    x = 838.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.