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Finding the Fourth Proportional to 1,504.85, 2,255.62 and 774.46

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Solution

The fourth proportional to 1,504.85, 2,255.62 and 774.46 is: 1,160.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.85 : 2,255.62 = 774.46 : x
  2. Step 2: Convert to fraction form
    1,504.85/2,255.62 = 774.46/x
  3. Step 3: Cross multiply
    1,504.85x = 2,255.62 × 774.46
  4. Step 4: Simplify right side
    1,504.85x = 1,746,894.07
  5. Step 5: Solve for x
    x = 1,746,894.07/1,504.85
  6. Step 6: Final answer
    x = 1,160.85

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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.