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Finding the Fourth Proportional to 905.72, 1,350.65 and 897.51

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Solution

The fourth proportional to 905.72, 1,350.65 and 897.51 is: 1,338.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.72 : 1,350.65 = 897.51 : x
  2. Step 2: Convert to fraction form
    905.72/1,350.65 = 897.51/x
  3. Step 3: Cross multiply
    905.72x = 1,350.65 × 897.51
  4. Step 4: Simplify right side
    905.72x = 1,212,217.39
  5. Step 5: Solve for x
    x = 1,212,217.39/905.72
  6. Step 6: Final answer
    x = 1,338.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.