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Finding the Fourth Proportional to 775.74, 1,070.64 and 444.24

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Solution

The fourth proportional to 775.74, 1,070.64 and 444.24 is: 613.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.74 : 1,070.64 = 444.24 : x
  2. Step 2: Convert to fraction form
    775.74/1,070.64 = 444.24/x
  3. Step 3: Cross multiply
    775.74x = 1,070.64 × 444.24
  4. Step 4: Simplify right side
    775.74x = 475,621.11
  5. Step 5: Solve for x
    x = 475,621.11/775.74
  6. Step 6: Final answer
    x = 613.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.