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Finding the Fourth Proportional to 1,281.23, 1,920.93 and 550.41

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Solution

The fourth proportional to 1,281.23, 1,920.93 and 550.41 is: 825.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.23 : 1,920.93 = 550.41 : x
  2. Step 2: Convert to fraction form
    1,281.23/1,920.93 = 550.41/x
  3. Step 3: Cross multiply
    1,281.23x = 1,920.93 × 550.41
  4. Step 4: Simplify right side
    1,281.23x = 1,057,299.08
  5. Step 5: Solve for x
    x = 1,057,299.08/1,281.23
  6. Step 6: Final answer
    x = 825.22

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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.