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Finding the Fourth Proportional to 775.96, 1,162.90 and 569.56

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Solution

The fourth proportional to 775.96, 1,162.90 and 569.56 is: 853.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.96 : 1,162.90 = 569.56 : x
  2. Step 2: Convert to fraction form
    775.96/1,162.90 = 569.56/x
  3. Step 3: Cross multiply
    775.96x = 1,162.90 × 569.56
  4. Step 4: Simplify right side
    775.96x = 662,335.51
  5. Step 5: Solve for x
    x = 662,335.51/775.96
  6. Step 6: Final answer
    x = 853.57

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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.