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Finding the Fourth Proportional to 1,253.96, 1,881.02 and 388.36

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Solution

The fourth proportional to 1,253.96, 1,881.02 and 388.36 is: 582.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.96 : 1,881.02 = 388.36 : x
  2. Step 2: Convert to fraction form
    1,253.96/1,881.02 = 388.36/x
  3. Step 3: Cross multiply
    1,253.96x = 1,881.02 × 388.36
  4. Step 4: Simplify right side
    1,253.96x = 730,512.93
  5. Step 5: Solve for x
    x = 730,512.93/1,253.96
  6. Step 6: Final answer
    x = 582.56

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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.