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Finding the Fourth Proportional to 1,082.97, 1,621.17 and 919.35

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Solution

The fourth proportional to 1,082.97, 1,621.17 and 919.35 is: 1,376.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.97 : 1,621.17 = 919.35 : x
  2. Step 2: Convert to fraction form
    1,082.97/1,621.17 = 919.35/x
  3. Step 3: Cross multiply
    1,082.97x = 1,621.17 × 919.35
  4. Step 4: Simplify right side
    1,082.97x = 1,490,422.64
  5. Step 5: Solve for x
    x = 1,490,422.64/1,082.97
  6. Step 6: Final answer
    x = 1,376.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.