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Finding the Fourth Proportional to 829.07, 1,143.61 and 534.23

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Solution

The fourth proportional to 829.07, 1,143.61 and 534.23 is: 736.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.07 : 1,143.61 = 534.23 : x
  2. Step 2: Convert to fraction form
    829.07/1,143.61 = 534.23/x
  3. Step 3: Cross multiply
    829.07x = 1,143.61 × 534.23
  4. Step 4: Simplify right side
    829.07x = 610,950.77
  5. Step 5: Solve for x
    x = 610,950.77/829.07
  6. Step 6: Final answer
    x = 736.91

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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.