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Finding the Fourth Proportional to 749.25, 1,033.97 and 417.67

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Solution

The fourth proportional to 749.25, 1,033.97 and 417.67 is: 576.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.25 : 1,033.97 = 417.67 : x
  2. Step 2: Convert to fraction form
    749.25/1,033.97 = 417.67/x
  3. Step 3: Cross multiply
    749.25x = 1,033.97 × 417.67
  4. Step 4: Simplify right side
    749.25x = 431,858.25
  5. Step 5: Solve for x
    x = 431,858.25/749.25
  6. Step 6: Final answer
    x = 576.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.