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Finding the Fourth Proportional to 1,509.30, 2,082.94 and 879.98

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Solution

The fourth proportional to 1,509.30, 2,082.94 and 879.98 is: 1,214.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.30 : 2,082.94 = 879.98 : x
  2. Step 2: Convert to fraction form
    1,509.30/2,082.94 = 879.98/x
  3. Step 3: Cross multiply
    1,509.30x = 2,082.94 × 879.98
  4. Step 4: Simplify right side
    1,509.30x = 1,832,945.54
  5. Step 5: Solve for x
    x = 1,832,945.54/1,509.30
  6. Step 6: Final answer
    x = 1,214.43

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Why These Related Problems?

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