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Finding the Fourth Proportional to 1,003.58, 1,505.33 and 273.14

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Solution

The fourth proportional to 1,003.58, 1,505.33 and 273.14 is: 409.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.58 : 1,505.33 = 273.14 : x
  2. Step 2: Convert to fraction form
    1,003.58/1,505.33 = 273.14/x
  3. Step 3: Cross multiply
    1,003.58x = 1,505.33 × 273.14
  4. Step 4: Simplify right side
    1,003.58x = 411,156.94
  5. Step 5: Solve for x
    x = 411,156.94/1,003.58
  6. Step 6: Final answer
    x = 409.69

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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.