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Finding the Fourth Proportional to 1,033.23, 1,550.31 and 418.14

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Solution

The fourth proportional to 1,033.23, 1,550.31 and 418.14 is: 627.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.23 : 1,550.31 = 418.14 : x
  2. Step 2: Convert to fraction form
    1,033.23/1,550.31 = 418.14/x
  3. Step 3: Cross multiply
    1,033.23x = 1,550.31 × 418.14
  4. Step 4: Simplify right side
    1,033.23x = 648,246.62
  5. Step 5: Solve for x
    x = 648,246.62/1,033.23
  6. Step 6: Final answer
    x = 627.40

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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.