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Finding the Fourth Proportional to 731.73, 1,009.82 and 483.57

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Solution

The fourth proportional to 731.73, 1,009.82 and 483.57 is: 667.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.73 : 1,009.82 = 483.57 : x
  2. Step 2: Convert to fraction form
    731.73/1,009.82 = 483.57/x
  3. Step 3: Cross multiply
    731.73x = 1,009.82 × 483.57
  4. Step 4: Simplify right side
    731.73x = 488,317.15
  5. Step 5: Solve for x
    x = 488,317.15/731.73
  6. Step 6: Final answer
    x = 667.34

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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.