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Finding the Fourth Proportional to 1,238.50, 1,857.24 and 447.63

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Solution

The fourth proportional to 1,238.50, 1,857.24 and 447.63 is: 671.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.50 : 1,857.24 = 447.63 : x
  2. Step 2: Convert to fraction form
    1,238.50/1,857.24 = 447.63/x
  3. Step 3: Cross multiply
    1,238.50x = 1,857.24 × 447.63
  4. Step 4: Simplify right side
    1,238.50x = 831,356.34
  5. Step 5: Solve for x
    x = 831,356.34/1,238.50
  6. Step 6: Final answer
    x = 671.26

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Double scale
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1.5x scale

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.