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Finding the Fourth Proportional to 749.21, 1,033.94 and 417.62

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Solution

The fourth proportional to 749.21, 1,033.94 and 417.62 is: 576.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.21 : 1,033.94 = 417.62 : x
  2. Step 2: Convert to fraction form
    749.21/1,033.94 = 417.62/x
  3. Step 3: Cross multiply
    749.21x = 1,033.94 × 417.62
  4. Step 4: Simplify right side
    749.21x = 431,794.52
  5. Step 5: Solve for x
    x = 431,794.52/749.21
  6. Step 6: Final answer
    x = 576.34

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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.