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Finding the Fourth Proportional to 1,285.08, 1,924.74 and 796.74

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Solution

The fourth proportional to 1,285.08, 1,924.74 and 796.74 is: 1,193.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.08 : 1,924.74 = 796.74 : x
  2. Step 2: Convert to fraction form
    1,285.08/1,924.74 = 796.74/x
  3. Step 3: Cross multiply
    1,285.08x = 1,924.74 × 796.74
  4. Step 4: Simplify right side
    1,285.08x = 1,533,517.35
  5. Step 5: Solve for x
    x = 1,533,517.35/1,285.08
  6. Step 6: Final answer
    x = 1,193.32

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Why These Related Problems?

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