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Finding the Fourth Proportional to 775.56, 1,162.06 and 570.20

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Solution

The fourth proportional to 775.56, 1,162.06 and 570.20 is: 854.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.56 : 1,162.06 = 570.20 : x
  2. Step 2: Convert to fraction form
    775.56/1,162.06 = 570.20/x
  3. Step 3: Cross multiply
    775.56x = 1,162.06 × 570.20
  4. Step 4: Simplify right side
    775.56x = 662,606.61
  5. Step 5: Solve for x
    x = 662,606.61/775.56
  6. Step 6: Final answer
    x = 854.36

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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.