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Finding the Fourth Proportional to 813.03, 1,121.68 and 533.42

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Solution

The fourth proportional to 813.03, 1,121.68 and 533.42 is: 735.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.03 : 1,121.68 = 533.42 : x
  2. Step 2: Convert to fraction form
    813.03/1,121.68 = 533.42/x
  3. Step 3: Cross multiply
    813.03x = 1,121.68 × 533.42
  4. Step 4: Simplify right side
    813.03x = 598,325.21
  5. Step 5: Solve for x
    x = 598,325.21/813.03
  6. Step 6: Final answer
    x = 735.92

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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.