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Finding the Fourth Proportional to 1,257.31, 1,733.97 and 784.27

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Solution

The fourth proportional to 1,257.31, 1,733.97 and 784.27 is: 1,081.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.31 : 1,733.97 = 784.27 : x
  2. Step 2: Convert to fraction form
    1,257.31/1,733.97 = 784.27/x
  3. Step 3: Cross multiply
    1,257.31x = 1,733.97 × 784.27
  4. Step 4: Simplify right side
    1,257.31x = 1,359,900.65
  5. Step 5: Solve for x
    x = 1,359,900.65/1,257.31
  6. Step 6: Final answer
    x = 1,081.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.