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Finding the Fourth Proportional to 829.04, 1,142.52 and 566.60

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Solution

The fourth proportional to 829.04, 1,142.52 and 566.60 is: 780.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.04 : 1,142.52 = 566.60 : x
  2. Step 2: Convert to fraction form
    829.04/1,142.52 = 566.60/x
  3. Step 3: Cross multiply
    829.04x = 1,142.52 × 566.60
  4. Step 4: Simplify right side
    829.04x = 647,351.83
  5. Step 5: Solve for x
    x = 647,351.83/829.04
  6. Step 6: Final answer
    x = 780.85

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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.