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Finding the Fourth Proportional to 775.86, 1,070.45 and 481.23

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Solution

The fourth proportional to 775.86, 1,070.45 and 481.23 is: 663.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.86 : 1,070.45 = 481.23 : x
  2. Step 2: Convert to fraction form
    775.86/1,070.45 = 481.23/x
  3. Step 3: Cross multiply
    775.86x = 1,070.45 × 481.23
  4. Step 4: Simplify right side
    775.86x = 515,130.25
  5. Step 5: Solve for x
    x = 515,130.25/775.86
  6. Step 6: Final answer
    x = 663.95

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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.