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Finding the Fourth Proportional to 1,200.92, 1,801.49 and 368.17

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Solution

The fourth proportional to 1,200.92, 1,801.49 and 368.17 is: 552.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.92 : 1,801.49 = 368.17 : x
  2. Step 2: Convert to fraction form
    1,200.92/1,801.49 = 368.17/x
  3. Step 3: Cross multiply
    1,200.92x = 1,801.49 × 368.17
  4. Step 4: Simplify right side
    1,200.92x = 663,254.98
  5. Step 5: Solve for x
    x = 663,254.98/1,200.92
  6. Step 6: Final answer
    x = 552.29

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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.