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Finding the Fourth Proportional to 1,220.67, 1,828.47 and 808.48

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Solution

The fourth proportional to 1,220.67, 1,828.47 and 808.48 is: 1,211.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.67 : 1,828.47 = 808.48 : x
  2. Step 2: Convert to fraction form
    1,220.67/1,828.47 = 808.48/x
  3. Step 3: Cross multiply
    1,220.67x = 1,828.47 × 808.48
  4. Step 4: Simplify right side
    1,220.67x = 1,478,286.74
  5. Step 5: Solve for x
    x = 1,478,286.74/1,220.67
  6. Step 6: Final answer
    x = 1,211.05

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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.