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Finding the Fourth Proportional to 775.24, 1,162.57 and 312.87

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Solution

The fourth proportional to 775.24, 1,162.57 and 312.87 is: 469.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.24 : 1,162.57 = 312.87 : x
  2. Step 2: Convert to fraction form
    775.24/1,162.57 = 312.87/x
  3. Step 3: Cross multiply
    775.24x = 1,162.57 × 312.87
  4. Step 4: Simplify right side
    775.24x = 363,733.28
  5. Step 5: Solve for x
    x = 363,733.28/775.24
  6. Step 6: Final answer
    x = 469.19

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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.