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Finding the Fourth Proportional to 829.14, 1,243.47 and 597.33

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Solution

The fourth proportional to 829.14, 1,243.47 and 597.33 is: 895.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.14 : 1,243.47 = 597.33 : x
  2. Step 2: Convert to fraction form
    829.14/1,243.47 = 597.33/x
  3. Step 3: Cross multiply
    829.14x = 1,243.47 × 597.33
  4. Step 4: Simplify right side
    829.14x = 742,761.94
  5. Step 5: Solve for x
    x = 742,761.94/829.14
  6. Step 6: Final answer
    x = 895.82

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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.