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Finding the Fourth Proportional to 775.62, 1,070.97 and 621.06

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Solution

The fourth proportional to 775.62, 1,070.97 and 621.06 is: 857.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.62 : 1,070.97 = 621.06 : x
  2. Step 2: Convert to fraction form
    775.62/1,070.97 = 621.06/x
  3. Step 3: Cross multiply
    775.62x = 1,070.97 × 621.06
  4. Step 4: Simplify right side
    775.62x = 665,136.63
  5. Step 5: Solve for x
    x = 665,136.63/775.62
  6. Step 6: Final answer
    x = 857.55

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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.