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Finding the Fourth Proportional to 1,083.54, 1,494.61 and 641.13

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Solution

The fourth proportional to 1,083.54, 1,494.61 and 641.13 is: 884.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.54 : 1,494.61 = 641.13 : x
  2. Step 2: Convert to fraction form
    1,083.54/1,494.61 = 641.13/x
  3. Step 3: Cross multiply
    1,083.54x = 1,494.61 × 641.13
  4. Step 4: Simplify right side
    1,083.54x = 958,239.31
  5. Step 5: Solve for x
    x = 958,239.31/1,083.54
  6. Step 6: Final answer
    x = 884.36

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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.