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Finding the Fourth Proportional to 1,272.25, 1,908.39 and 502.75

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Solution

The fourth proportional to 1,272.25, 1,908.39 and 502.75 is: 754.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.25 : 1,908.39 = 502.75 : x
  2. Step 2: Convert to fraction form
    1,272.25/1,908.39 = 502.75/x
  3. Step 3: Cross multiply
    1,272.25x = 1,908.39 × 502.75
  4. Step 4: Simplify right side
    1,272.25x = 959,443.07
  5. Step 5: Solve for x
    x = 959,443.07/1,272.25
  6. Step 6: Final answer
    x = 754.13

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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.