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Finding the Fourth Proportional to 890.30, 1,333.90 and 616.57

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Solution

The fourth proportional to 890.30, 1,333.90 and 616.57 is: 923.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.30 : 1,333.90 = 616.57 : x
  2. Step 2: Convert to fraction form
    890.30/1,333.90 = 616.57/x
  3. Step 3: Cross multiply
    890.30x = 1,333.90 × 616.57
  4. Step 4: Simplify right side
    890.30x = 822,442.72
  5. Step 5: Solve for x
    x = 822,442.72/890.30
  6. Step 6: Final answer
    x = 923.78

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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.