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Finding the Fourth Proportional to 1,082.30, 1,623.36 and 649.14

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Solution

The fourth proportional to 1,082.30, 1,623.36 and 649.14 is: 973.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.30 : 1,623.36 = 649.14 : x
  2. Step 2: Convert to fraction form
    1,082.30/1,623.36 = 649.14/x
  3. Step 3: Cross multiply
    1,082.30x = 1,623.36 × 649.14
  4. Step 4: Simplify right side
    1,082.30x = 1,053,787.91
  5. Step 5: Solve for x
    x = 1,053,787.91/1,082.30
  6. Step 6: Final answer
    x = 973.66

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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.