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Finding the Fourth Proportional to 1,082.04, 1,620.54 and 715.92

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Solution

The fourth proportional to 1,082.04, 1,620.54 and 715.92 is: 1,072.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.04 : 1,620.54 = 715.92 : x
  2. Step 2: Convert to fraction form
    1,082.04/1,620.54 = 715.92/x
  3. Step 3: Cross multiply
    1,082.04x = 1,620.54 × 715.92
  4. Step 4: Simplify right side
    1,082.04x = 1,160,177.00
  5. Step 5: Solve for x
    x = 1,160,177.00/1,082.04
  6. Step 6: Final answer
    x = 1,072.21

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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.