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Finding the Fourth Proportional to 1,441.47, 2,161.50 and 467.31

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Solution

The fourth proportional to 1,441.47, 2,161.50 and 467.31 is: 700.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.47 : 2,161.50 = 467.31 : x
  2. Step 2: Convert to fraction form
    1,441.47/2,161.50 = 467.31/x
  3. Step 3: Cross multiply
    1,441.47x = 2,161.50 × 467.31
  4. Step 4: Simplify right side
    1,441.47x = 1,010,090.57
  5. Step 5: Solve for x
    x = 1,010,090.57/1,441.47
  6. Step 6: Final answer
    x = 700.74

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.