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Finding the Fourth Proportional to 901.83, 1,244.55 and 552.32

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Solution

The fourth proportional to 901.83, 1,244.55 and 552.32 is: 762.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.83 : 1,244.55 = 552.32 : x
  2. Step 2: Convert to fraction form
    901.83/1,244.55 = 552.32/x
  3. Step 3: Cross multiply
    901.83x = 1,244.55 × 552.32
  4. Step 4: Simplify right side
    901.83x = 687,380.87
  5. Step 5: Solve for x
    x = 687,380.87/901.83
  6. Step 6: Final answer
    x = 762.21

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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.