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Finding the Fourth Proportional to 1,033.81, 1,550.78 and 417.52

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Solution

The fourth proportional to 1,033.81, 1,550.78 and 417.52 is: 626.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.81 : 1,550.78 = 417.52 : x
  2. Step 2: Convert to fraction form
    1,033.81/1,550.78 = 417.52/x
  3. Step 3: Cross multiply
    1,033.81x = 1,550.78 × 417.52
  4. Step 4: Simplify right side
    1,033.81x = 647,481.67
  5. Step 5: Solve for x
    x = 647,481.67/1,033.81
  6. Step 6: Final answer
    x = 626.31

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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.