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Finding the Fourth Proportional to 1,003.87, 1,505.81 and 273.45

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Solution

The fourth proportional to 1,003.87, 1,505.81 and 273.45 is: 410.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.87 : 1,505.81 = 273.45 : x
  2. Step 2: Convert to fraction form
    1,003.87/1,505.81 = 273.45/x
  3. Step 3: Cross multiply
    1,003.87x = 1,505.81 × 273.45
  4. Step 4: Simplify right side
    1,003.87x = 411,758.61
  5. Step 5: Solve for x
    x = 411,758.61/1,003.87
  6. Step 6: Final answer
    x = 410.17

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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.