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Finding the Fourth Proportional to 803.34, 1,202.16 and 584.22

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Solution

The fourth proportional to 803.34, 1,202.16 and 584.22 is: 874.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.34 : 1,202.16 = 584.22 : x
  2. Step 2: Convert to fraction form
    803.34/1,202.16 = 584.22/x
  3. Step 3: Cross multiply
    803.34x = 1,202.16 × 584.22
  4. Step 4: Simplify right side
    803.34x = 702,325.92
  5. Step 5: Solve for x
    x = 702,325.92/803.34
  6. Step 6: Final answer
    x = 874.26

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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.