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Finding the Fourth Proportional to 825.32, 1,138.02 and 722.92

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Solution

The fourth proportional to 825.32, 1,138.02 and 722.92 is: 996.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.32 : 1,138.02 = 722.92 : x
  2. Step 2: Convert to fraction form
    825.32/1,138.02 = 722.92/x
  3. Step 3: Cross multiply
    825.32x = 1,138.02 × 722.92
  4. Step 4: Simplify right side
    825.32x = 822,697.42
  5. Step 5: Solve for x
    x = 822,697.42/825.32
  6. Step 6: Final answer
    x = 996.82

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Double scale
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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.