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Finding the Fourth Proportional to 827.88, 1,141.74 and 741.48

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Solution

The fourth proportional to 827.88, 1,141.74 and 741.48 is: 1,022.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.88 : 1,141.74 = 741.48 : x
  2. Step 2: Convert to fraction form
    827.88/1,141.74 = 741.48/x
  3. Step 3: Cross multiply
    827.88x = 1,141.74 × 741.48
  4. Step 4: Simplify right side
    827.88x = 846,577.38
  5. Step 5: Solve for x
    x = 846,577.38/827.88
  6. Step 6: Final answer
    x = 1,022.58

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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.