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Finding the Fourth Proportional to 1,260.65, 1,739.09 and 887.84

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Solution

The fourth proportional to 1,260.65, 1,739.09 and 887.84 is: 1,224.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.65 : 1,739.09 = 887.84 : x
  2. Step 2: Convert to fraction form
    1,260.65/1,739.09 = 887.84/x
  3. Step 3: Cross multiply
    1,260.65x = 1,739.09 × 887.84
  4. Step 4: Simplify right side
    1,260.65x = 1,544,033.71
  5. Step 5: Solve for x
    x = 1,544,033.71/1,260.65
  6. Step 6: Final answer
    x = 1,224.79

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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.