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Finding the Fourth Proportional to 905.31, 1,356.17 and 829.17

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Solution

The fourth proportional to 905.31, 1,356.17 and 829.17 is: 1,242.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.31 : 1,356.17 = 829.17 : x
  2. Step 2: Convert to fraction form
    905.31/1,356.17 = 829.17/x
  3. Step 3: Cross multiply
    905.31x = 1,356.17 × 829.17
  4. Step 4: Simplify right side
    905.31x = 1,124,491.33
  5. Step 5: Solve for x
    x = 1,124,491.33/905.31
  6. Step 6: Final answer
    x = 1,242.11

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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.