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Finding the Fourth Proportional to 1,305.72, 1,801.44 and 863.10

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Solution

The fourth proportional to 1,305.72, 1,801.44 and 863.10 is: 1,190.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.72 : 1,801.44 = 863.10 : x
  2. Step 2: Convert to fraction form
    1,305.72/1,801.44 = 863.10/x
  3. Step 3: Cross multiply
    1,305.72x = 1,801.44 × 863.10
  4. Step 4: Simplify right side
    1,305.72x = 1,554,822.86
  5. Step 5: Solve for x
    x = 1,554,822.86/1,305.72
  6. Step 6: Final answer
    x = 1,190.78

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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.