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Finding the Fourth Proportional to 1,221.08, 1,684.41 and 801.50

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Solution

The fourth proportional to 1,221.08, 1,684.41 and 801.50 is: 1,105.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.08 : 1,684.41 = 801.50 : x
  2. Step 2: Convert to fraction form
    1,221.08/1,684.41 = 801.50/x
  3. Step 3: Cross multiply
    1,221.08x = 1,684.41 × 801.50
  4. Step 4: Simplify right side
    1,221.08x = 1,350,054.62
  5. Step 5: Solve for x
    x = 1,350,054.62/1,221.08
  6. Step 6: Final answer
    x = 1,105.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.