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Finding the Fourth Proportional to 1,430.82, 1,974.24 and 833.04

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Solution

The fourth proportional to 1,430.82, 1,974.24 and 833.04 is: 1,149.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.82 : 1,974.24 = 833.04 : x
  2. Step 2: Convert to fraction form
    1,430.82/1,974.24 = 833.04/x
  3. Step 3: Cross multiply
    1,430.82x = 1,974.24 × 833.04
  4. Step 4: Simplify right side
    1,430.82x = 1,644,620.89
  5. Step 5: Solve for x
    x = 1,644,620.89/1,430.82
  6. Step 6: Final answer
    x = 1,149.43

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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.