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Finding the Fourth Proportional to 1,220.52, 1,683.86 and 801.10

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Solution

The fourth proportional to 1,220.52, 1,683.86 and 801.10 is: 1,105.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.52 : 1,683.86 = 801.10 : x
  2. Step 2: Convert to fraction form
    1,220.52/1,683.86 = 801.10/x
  3. Step 3: Cross multiply
    1,220.52x = 1,683.86 × 801.10
  4. Step 4: Simplify right side
    1,220.52x = 1,348,941.35
  5. Step 5: Solve for x
    x = 1,348,941.35/1,220.52
  6. Step 6: Final answer
    x = 1,105.22

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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.