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Finding the Fourth Proportional to 938.34, 1,409.16 and 800.22

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Solution

The fourth proportional to 938.34, 1,409.16 and 800.22 is: 1,201.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.34 : 1,409.16 = 800.22 : x
  2. Step 2: Convert to fraction form
    938.34/1,409.16 = 800.22/x
  3. Step 3: Cross multiply
    938.34x = 1,409.16 × 800.22
  4. Step 4: Simplify right side
    938.34x = 1,127,638.02
  5. Step 5: Solve for x
    x = 1,127,638.02/938.34
  6. Step 6: Final answer
    x = 1,201.74

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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.