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Finding the Fourth Proportional to 1,424.78, 1,966.03 and 827.13

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Solution

The fourth proportional to 1,424.78, 1,966.03 and 827.13 is: 1,141.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.78 : 1,966.03 = 827.13 : x
  2. Step 2: Convert to fraction form
    1,424.78/1,966.03 = 827.13/x
  3. Step 3: Cross multiply
    1,424.78x = 1,966.03 × 827.13
  4. Step 4: Simplify right side
    1,424.78x = 1,626,162.39
  5. Step 5: Solve for x
    x = 1,626,162.39/1,424.78
  6. Step 6: Final answer
    x = 1,141.34

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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.