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Finding the Fourth Proportional to 1,394.67, 1,925.83 and 997.57

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Solution

The fourth proportional to 1,394.67, 1,925.83 and 997.57 is: 1,377.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.67 : 1,925.83 = 997.57 : x
  2. Step 2: Convert to fraction form
    1,394.67/1,925.83 = 997.57/x
  3. Step 3: Cross multiply
    1,394.67x = 1,925.83 × 997.57
  4. Step 4: Simplify right side
    1,394.67x = 1,921,150.23
  5. Step 5: Solve for x
    x = 1,921,150.23/1,394.67
  6. Step 6: Final answer
    x = 1,377.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.