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Finding the Fourth Proportional to 1,525.74, 2,105.51 and 827.11

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Solution

The fourth proportional to 1,525.74, 2,105.51 and 827.11 is: 1,141.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.74 : 2,105.51 = 827.11 : x
  2. Step 2: Convert to fraction form
    1,525.74/2,105.51 = 827.11/x
  3. Step 3: Cross multiply
    1,525.74x = 2,105.51 × 827.11
  4. Step 4: Simplify right side
    1,525.74x = 1,741,488.38
  5. Step 5: Solve for x
    x = 1,741,488.38/1,525.74
  6. Step 6: Final answer
    x = 1,141.41

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Half scale
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Double scale
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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.