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Finding the Fourth Proportional to 1,285.05, 1,925.39 and 698.72

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Solution

The fourth proportional to 1,285.05, 1,925.39 and 698.72 is: 1,046.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.05 : 1,925.39 = 698.72 : x
  2. Step 2: Convert to fraction form
    1,285.05/1,925.39 = 698.72/x
  3. Step 3: Cross multiply
    1,285.05x = 1,925.39 × 698.72
  4. Step 4: Simplify right side
    1,285.05x = 1,345,295.38
  5. Step 5: Solve for x
    x = 1,345,295.38/1,285.05
  6. Step 6: Final answer
    x = 1,046.88

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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.