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Finding the Fourth Proportional to 1,260.71, 1,739.75 and 756.57

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Solution

The fourth proportional to 1,260.71, 1,739.75 and 756.57 is: 1,044.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.71 : 1,739.75 = 756.57 : x
  2. Step 2: Convert to fraction form
    1,260.71/1,739.75 = 756.57/x
  3. Step 3: Cross multiply
    1,260.71x = 1,739.75 × 756.57
  4. Step 4: Simplify right side
    1,260.71x = 1,316,232.32
  5. Step 5: Solve for x
    x = 1,316,232.32/1,260.71
  6. Step 6: Final answer
    x = 1,044.04

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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.