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Finding the Fourth Proportional to 1,260.91, 1,739.96 and 701.36

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Solution

The fourth proportional to 1,260.91, 1,739.96 and 701.36 is: 967.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.91 : 1,739.96 = 701.36 : x
  2. Step 2: Convert to fraction form
    1,260.91/1,739.96 = 701.36/x
  3. Step 3: Cross multiply
    1,260.91x = 1,739.96 × 701.36
  4. Step 4: Simplify right side
    1,260.91x = 1,220,329.65
  5. Step 5: Solve for x
    x = 1,220,329.65/1,260.91
  6. Step 6: Final answer
    x = 967.82

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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.