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Finding the Fourth Proportional to 874.67, 1,310.78 and 630.05

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Solution

The fourth proportional to 874.67, 1,310.78 and 630.05 is: 944.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.67 : 1,310.78 = 630.05 : x
  2. Step 2: Convert to fraction form
    874.67/1,310.78 = 630.05/x
  3. Step 3: Cross multiply
    874.67x = 1,310.78 × 630.05
  4. Step 4: Simplify right side
    874.67x = 825,851.96
  5. Step 5: Solve for x
    x = 825,851.96/874.67
  6. Step 6: Final answer
    x = 944.19

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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.