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Finding the Fourth Proportional to 825.92, 1,141.96 and 722.16

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Solution

The fourth proportional to 825.92, 1,141.96 and 722.16 is: 998.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.92 : 1,141.96 = 722.16 : x
  2. Step 2: Convert to fraction form
    825.92/1,141.96 = 722.16/x
  3. Step 3: Cross multiply
    825.92x = 1,141.96 × 722.16
  4. Step 4: Simplify right side
    825.92x = 824,677.83
  5. Step 5: Solve for x
    x = 824,677.83/825.92
  6. Step 6: Final answer
    x = 998.50

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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.