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Finding the Fourth Proportional to 1,220.64, 1,683.90 and 800.82

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Solution

The fourth proportional to 1,220.64, 1,683.90 and 800.82 is: 1,104.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.64 : 1,683.90 = 800.82 : x
  2. Step 2: Convert to fraction form
    1,220.64/1,683.90 = 800.82/x
  3. Step 3: Cross multiply
    1,220.64x = 1,683.90 × 800.82
  4. Step 4: Simplify right side
    1,220.64x = 1,348,500.80
  5. Step 5: Solve for x
    x = 1,348,500.80/1,220.64
  6. Step 6: Final answer
    x = 1,104.75

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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.