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Finding the Fourth Proportional to 732.92, 1,094.33 and 596.22

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Solution

The fourth proportional to 732.92, 1,094.33 and 596.22 is: 890.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.92 : 1,094.33 = 596.22 : x
  2. Step 2: Convert to fraction form
    732.92/1,094.33 = 596.22/x
  3. Step 3: Cross multiply
    732.92x = 1,094.33 × 596.22
  4. Step 4: Simplify right side
    732.92x = 652,458.45
  5. Step 5: Solve for x
    x = 652,458.45/732.92
  6. Step 6: Final answer
    x = 890.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.