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Finding the Fourth Proportional to 1,253.75, 1,881.83 and 821.21

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Solution

The fourth proportional to 1,253.75, 1,881.83 and 821.21 is: 1,232.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.75 : 1,881.83 = 821.21 : x
  2. Step 2: Convert to fraction form
    1,253.75/1,881.83 = 821.21/x
  3. Step 3: Cross multiply
    1,253.75x = 1,881.83 × 821.21
  4. Step 4: Simplify right side
    1,253.75x = 1,545,370.26
  5. Step 5: Solve for x
    x = 1,545,370.26/1,253.75
  6. Step 6: Final answer
    x = 1,232.60

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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.