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Finding the Fourth Proportional to 883.26, 1,322.37 and 594.18

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Solution

The fourth proportional to 883.26, 1,322.37 and 594.18 is: 889.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.26 : 1,322.37 = 594.18 : x
  2. Step 2: Convert to fraction form
    883.26/1,322.37 = 594.18/x
  3. Step 3: Cross multiply
    883.26x = 1,322.37 × 594.18
  4. Step 4: Simplify right side
    883.26x = 785,725.81
  5. Step 5: Solve for x
    x = 785,725.81/883.26
  6. Step 6: Final answer
    x = 889.57

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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.