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Finding the Fourth Proportional to 983.22, 1,356.83 and 535.10

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Solution

The fourth proportional to 983.22, 1,356.83 and 535.10 is: 738.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.22 : 1,356.83 = 535.10 : x
  2. Step 2: Convert to fraction form
    983.22/1,356.83 = 535.10/x
  3. Step 3: Cross multiply
    983.22x = 1,356.83 × 535.10
  4. Step 4: Simplify right side
    983.22x = 726,032.28
  5. Step 5: Solve for x
    x = 726,032.28/983.22
  6. Step 6: Final answer
    x = 738.43

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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.