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Finding the Fourth Proportional to 825.37, 1,238.05 and 483.13

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Solution

The fourth proportional to 825.37, 1,238.05 and 483.13 is: 724.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.37 : 1,238.05 = 483.13 : x
  2. Step 2: Convert to fraction form
    825.37/1,238.05 = 483.13/x
  3. Step 3: Cross multiply
    825.37x = 1,238.05 × 483.13
  4. Step 4: Simplify right side
    825.37x = 598,132.91
  5. Step 5: Solve for x
    x = 598,132.91/825.37
  6. Step 6: Final answer
    x = 724.69

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Double scale
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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.