Home / 1,296.56-1,944.92-710.80

Finding the Fourth Proportional to 1,296.56, 1,944.92 and 710.80

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Solution

The fourth proportional to 1,296.56, 1,944.92 and 710.80 is: 1,066.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.56 : 1,944.92 = 710.80 : x
  2. Step 2: Convert to fraction form
    1,296.56/1,944.92 = 710.80/x
  3. Step 3: Cross multiply
    1,296.56x = 1,944.92 × 710.80
  4. Step 4: Simplify right side
    1,296.56x = 1,382,449.14
  5. Step 5: Solve for x
    x = 1,382,449.14/1,296.56
  6. Step 6: Final answer
    x = 1,066.24

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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.