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Finding the Fourth Proportional to 1,003.82, 1,505.73 and 418.81

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Solution

The fourth proportional to 1,003.82, 1,505.73 and 418.81 is: 628.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.82 : 1,505.73 = 418.81 : x
  2. Step 2: Convert to fraction form
    1,003.82/1,505.73 = 418.81/x
  3. Step 3: Cross multiply
    1,003.82x = 1,505.73 × 418.81
  4. Step 4: Simplify right side
    1,003.82x = 630,612.69
  5. Step 5: Solve for x
    x = 630,612.69/1,003.82
  6. Step 6: Final answer
    x = 628.21

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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.