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Finding the Fourth Proportional to 873.44, 1,309.97 and 257.19

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Solution

The fourth proportional to 873.44, 1,309.97 and 257.19 is: 385.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.44 : 1,309.97 = 257.19 : x
  2. Step 2: Convert to fraction form
    873.44/1,309.97 = 257.19/x
  3. Step 3: Cross multiply
    873.44x = 1,309.97 × 257.19
  4. Step 4: Simplify right side
    873.44x = 336,911.83
  5. Step 5: Solve for x
    x = 336,911.83/873.44
  6. Step 6: Final answer
    x = 385.73

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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.