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Finding the Fourth Proportional to 923.08, 1,268.59 and 830.80

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Solution

The fourth proportional to 923.08, 1,268.59 and 830.80 is: 1,141.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.08 : 1,268.59 = 830.80 : x
  2. Step 2: Convert to fraction form
    923.08/1,268.59 = 830.80/x
  3. Step 3: Cross multiply
    923.08x = 1,268.59 × 830.80
  4. Step 4: Simplify right side
    923.08x = 1,053,944.57
  5. Step 5: Solve for x
    x = 1,053,944.57/923.08
  6. Step 6: Final answer
    x = 1,141.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.