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Finding the Fourth Proportional to 914.13, 1,260.77 and 827.73

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Solution

The fourth proportional to 914.13, 1,260.77 and 827.73 is: 1,141.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.13 : 1,260.77 = 827.73 : x
  2. Step 2: Convert to fraction form
    914.13/1,260.77 = 827.73/x
  3. Step 3: Cross multiply
    914.13x = 1,260.77 × 827.73
  4. Step 4: Simplify right side
    914.13x = 1,043,573.01
  5. Step 5: Solve for x
    x = 1,043,573.01/914.13
  6. Step 6: Final answer
    x = 1,141.60

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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.