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Finding the Fourth Proportional to 851.89, 1,278.11 and 646.69

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Solution

The fourth proportional to 851.89, 1,278.11 and 646.69 is: 970.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.89 : 1,278.11 = 646.69 : x
  2. Step 2: Convert to fraction form
    851.89/1,278.11 = 646.69/x
  3. Step 3: Cross multiply
    851.89x = 1,278.11 × 646.69
  4. Step 4: Simplify right side
    851.89x = 826,537.72
  5. Step 5: Solve for x
    x = 826,537.72/851.89
  6. Step 6: Final answer
    x = 970.24

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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.