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Finding the Fourth Proportional to 1,431.16, 1,974.82 and 833.82

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Solution

The fourth proportional to 1,431.16, 1,974.82 and 833.82 is: 1,150.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.16 : 1,974.82 = 833.82 : x
  2. Step 2: Convert to fraction form
    1,431.16/1,974.82 = 833.82/x
  3. Step 3: Cross multiply
    1,431.16x = 1,974.82 × 833.82
  4. Step 4: Simplify right side
    1,431.16x = 1,646,644.41
  5. Step 5: Solve for x
    x = 1,646,644.41/1,431.16
  6. Step 6: Final answer
    x = 1,150.57

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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.