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Finding the Fourth Proportional to 913.60, 1,372.05 and 800.20

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Solution

The fourth proportional to 913.60, 1,372.05 and 800.20 is: 1,201.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.60 : 1,372.05 = 800.20 : x
  2. Step 2: Convert to fraction form
    913.60/1,372.05 = 800.20/x
  3. Step 3: Cross multiply
    913.60x = 1,372.05 × 800.20
  4. Step 4: Simplify right side
    913.60x = 1,097,914.41
  5. Step 5: Solve for x
    x = 1,097,914.41/913.60
  6. Step 6: Final answer
    x = 1,201.75

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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.