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Finding the Fourth Proportional to 829.08, 1,142.91 and 534.24

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Solution

The fourth proportional to 829.08, 1,142.91 and 534.24 is: 736.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.08 : 1,142.91 = 534.24 : x
  2. Step 2: Convert to fraction form
    829.08/1,142.91 = 534.24/x
  3. Step 3: Cross multiply
    829.08x = 1,142.91 × 534.24
  4. Step 4: Simplify right side
    829.08x = 610,588.24
  5. Step 5: Solve for x
    x = 610,588.24/829.08
  6. Step 6: Final answer
    x = 736.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.