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Finding the Fourth Proportional to 775.80, 1,161.18 and 570.33

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Solution

The fourth proportional to 775.80, 1,161.18 and 570.33 is: 853.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.80 : 1,161.18 = 570.33 : x
  2. Step 2: Convert to fraction form
    775.80/1,161.18 = 570.33/x
  3. Step 3: Cross multiply
    775.80x = 1,161.18 × 570.33
  4. Step 4: Simplify right side
    775.80x = 662,255.79
  5. Step 5: Solve for x
    x = 662,255.79/775.80
  6. Step 6: Final answer
    x = 853.64

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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.