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Finding the Fourth Proportional to 1,400.92, 1,932.42 and 902.77

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Solution

The fourth proportional to 1,400.92, 1,932.42 and 902.77 is: 1,245.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.92 : 1,932.42 = 902.77 : x
  2. Step 2: Convert to fraction form
    1,400.92/1,932.42 = 902.77/x
  3. Step 3: Cross multiply
    1,400.92x = 1,932.42 × 902.77
  4. Step 4: Simplify right side
    1,400.92x = 1,744,530.80
  5. Step 5: Solve for x
    x = 1,744,530.80/1,400.92
  6. Step 6: Final answer
    x = 1,245.28

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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.