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Finding the Fourth Proportional to 1,257.30, 1,736.09 and 785.74

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Solution

The fourth proportional to 1,257.30, 1,736.09 and 785.74 is: 1,084.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.30 : 1,736.09 = 785.74 : x
  2. Step 2: Convert to fraction form
    1,257.30/1,736.09 = 785.74/x
  3. Step 3: Cross multiply
    1,257.30x = 1,736.09 × 785.74
  4. Step 4: Simplify right side
    1,257.30x = 1,364,115.36
  5. Step 5: Solve for x
    x = 1,364,115.36/1,257.30
  6. Step 6: Final answer
    x = 1,084.96

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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.