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Finding the Fourth Proportional to 829.42, 1,243.47 and 537.22

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Solution

The fourth proportional to 829.42, 1,243.47 and 537.22 is: 805.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.42 : 1,243.47 = 537.22 : x
  2. Step 2: Convert to fraction form
    829.42/1,243.47 = 537.22/x
  3. Step 3: Cross multiply
    829.42x = 1,243.47 × 537.22
  4. Step 4: Simplify right side
    829.42x = 668,016.95
  5. Step 5: Solve for x
    x = 668,016.95/829.42
  6. Step 6: Final answer
    x = 805.40

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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.