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Finding the Fourth Proportional to 1,278.72, 1,921.54 and 694.10

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Solution

The fourth proportional to 1,278.72, 1,921.54 and 694.10 is: 1,043.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.72 : 1,921.54 = 694.10 : x
  2. Step 2: Convert to fraction form
    1,278.72/1,921.54 = 694.10/x
  3. Step 3: Cross multiply
    1,278.72x = 1,921.54 × 694.10
  4. Step 4: Simplify right side
    1,278.72x = 1,333,740.91
  5. Step 5: Solve for x
    x = 1,333,740.91/1,278.72
  6. Step 6: Final answer
    x = 1,043.03

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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.