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Finding the Fourth Proportional to 1,003.53, 1,505.29 and 273.10

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Solution

The fourth proportional to 1,003.53, 1,505.29 and 273.10 is: 409.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.53 : 1,505.29 = 273.10 : x
  2. Step 2: Convert to fraction form
    1,003.53/1,505.29 = 273.10/x
  3. Step 3: Cross multiply
    1,003.53x = 1,505.29 × 273.10
  4. Step 4: Simplify right side
    1,003.53x = 411,099.14
  5. Step 5: Solve for x
    x = 411,099.14/1,003.53
  6. Step 6: Final answer
    x = 409.65

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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.