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Finding the Fourth Proportional to 775.32, 1,070.27 and 578.49

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Solution

The fourth proportional to 775.32, 1,070.27 and 578.49 is: 798.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.32 : 1,070.27 = 578.49 : x
  2. Step 2: Convert to fraction form
    775.32/1,070.27 = 578.49/x
  3. Step 3: Cross multiply
    775.32x = 1,070.27 × 578.49
  4. Step 4: Simplify right side
    775.32x = 619,137.60
  5. Step 5: Solve for x
    x = 619,137.60/775.32
  6. Step 6: Final answer
    x = 798.56

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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.