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Finding the Fourth Proportional to 1,145.73, 1,718.57 and 280.04

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Solution

The fourth proportional to 1,145.73, 1,718.57 and 280.04 is: 420.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.73 : 1,718.57 = 280.04 : x
  2. Step 2: Convert to fraction form
    1,145.73/1,718.57 = 280.04/x
  3. Step 3: Cross multiply
    1,145.73x = 1,718.57 × 280.04
  4. Step 4: Simplify right side
    1,145.73x = 481,273.34
  5. Step 5: Solve for x
    x = 481,273.34/1,145.73
  6. Step 6: Final answer
    x = 420.06

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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.