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Finding the Fourth Proportional to 772.15, 1,158.48 and 406.84

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Solution

The fourth proportional to 772.15, 1,158.48 and 406.84 is: 610.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.15 : 1,158.48 = 406.84 : x
  2. Step 2: Convert to fraction form
    772.15/1,158.48 = 406.84/x
  3. Step 3: Cross multiply
    772.15x = 1,158.48 × 406.84
  4. Step 4: Simplify right side
    772.15x = 471,308.18
  5. Step 5: Solve for x
    x = 471,308.18/772.15
  6. Step 6: Final answer
    x = 610.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.