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Finding the Fourth Proportional to 1,033.49, 1,550.34 and 417.49

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Solution

The fourth proportional to 1,033.49, 1,550.34 and 417.49 is: 626.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.49 : 1,550.34 = 417.49 : x
  2. Step 2: Convert to fraction form
    1,033.49/1,550.34 = 417.49/x
  3. Step 3: Cross multiply
    1,033.49x = 1,550.34 × 417.49
  4. Step 4: Simplify right side
    1,033.49x = 647,247.57
  5. Step 5: Solve for x
    x = 647,247.57/1,033.49
  6. Step 6: Final answer
    x = 626.27

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1.5x scale

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.