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Finding the Fourth Proportional to 775.27, 1,070.01 and 443.64

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Solution

The fourth proportional to 775.27, 1,070.01 and 443.64 is: 612.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.27 : 1,070.01 = 443.64 : x
  2. Step 2: Convert to fraction form
    775.27/1,070.01 = 443.64/x
  3. Step 3: Cross multiply
    775.27x = 1,070.01 × 443.64
  4. Step 4: Simplify right side
    775.27x = 474,693.95
  5. Step 5: Solve for x
    x = 474,693.95/775.27
  6. Step 6: Final answer
    x = 612.29

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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.