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Finding the Fourth Proportional to 1,296.92, 1,945.31 and 713.04

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Solution

The fourth proportional to 1,296.92, 1,945.31 and 713.04 is: 1,069.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.92 : 1,945.31 = 713.04 : x
  2. Step 2: Convert to fraction form
    1,296.92/1,945.31 = 713.04/x
  3. Step 3: Cross multiply
    1,296.92x = 1,945.31 × 713.04
  4. Step 4: Simplify right side
    1,296.92x = 1,387,080.28
  5. Step 5: Solve for x
    x = 1,387,080.28/1,296.92
  6. Step 6: Final answer
    x = 1,069.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.