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Finding the Fourth Proportional to 775.57, 1,164.90 and 463.82

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Solution

The fourth proportional to 775.57, 1,164.90 and 463.82 is: 696.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.57 : 1,164.90 = 463.82 : x
  2. Step 2: Convert to fraction form
    775.57/1,164.90 = 463.82/x
  3. Step 3: Cross multiply
    775.57x = 1,164.90 × 463.82
  4. Step 4: Simplify right side
    775.57x = 540,303.92
  5. Step 5: Solve for x
    x = 540,303.92/775.57
  6. Step 6: Final answer
    x = 696.65

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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.