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Finding the Fourth Proportional to 825.42, 1,238.39 and 496.72

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Solution

The fourth proportional to 825.42, 1,238.39 and 496.72 is: 745.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.42 : 1,238.39 = 496.72 : x
  2. Step 2: Convert to fraction form
    825.42/1,238.39 = 496.72/x
  3. Step 3: Cross multiply
    825.42x = 1,238.39 × 496.72
  4. Step 4: Simplify right side
    825.42x = 615,129.36
  5. Step 5: Solve for x
    x = 615,129.36/825.42
  6. Step 6: Final answer
    x = 745.23

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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.