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Finding the Fourth Proportional to 782.04, 1,171.86 and 473.56

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Solution

The fourth proportional to 782.04, 1,171.86 and 473.56 is: 709.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.04 : 1,171.86 = 473.56 : x
  2. Step 2: Convert to fraction form
    782.04/1,171.86 = 473.56/x
  3. Step 3: Cross multiply
    782.04x = 1,171.86 × 473.56
  4. Step 4: Simplify right side
    782.04x = 554,946.02
  5. Step 5: Solve for x
    x = 554,946.02/782.04
  6. Step 6: Final answer
    x = 709.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.