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Finding the Fourth Proportional to 805.60, 1,208.40 and 774.85

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Solution

The fourth proportional to 805.60, 1,208.40 and 774.85 is: 1,162.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.60 : 1,208.40 = 774.85 : x
  2. Step 2: Convert to fraction form
    805.60/1,208.40 = 774.85/x
  3. Step 3: Cross multiply
    805.60x = 1,208.40 × 774.85
  4. Step 4: Simplify right side
    805.60x = 936,328.74
  5. Step 5: Solve for x
    x = 936,328.74/805.60
  6. Step 6: Final answer
    x = 1,162.28

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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.