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Finding the Fourth Proportional to 1,257.66, 1,735.70 and 760.46

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Solution

The fourth proportional to 1,257.66, 1,735.70 and 760.46 is: 1,049.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.66 : 1,735.70 = 760.46 : x
  2. Step 2: Convert to fraction form
    1,257.66/1,735.70 = 760.46/x
  3. Step 3: Cross multiply
    1,257.66x = 1,735.70 × 760.46
  4. Step 4: Simplify right side
    1,257.66x = 1,319,917.94
  5. Step 5: Solve for x
    x = 1,319,917.94/1,257.66
  6. Step 6: Final answer
    x = 1,049.50

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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.