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Finding the Fourth Proportional to 1,249.32, 1,723.47 and 777.06

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Solution

The fourth proportional to 1,249.32, 1,723.47 and 777.06 is: 1,071.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.32 : 1,723.47 = 777.06 : x
  2. Step 2: Convert to fraction form
    1,249.32/1,723.47 = 777.06/x
  3. Step 3: Cross multiply
    1,249.32x = 1,723.47 × 777.06
  4. Step 4: Simplify right side
    1,249.32x = 1,339,239.60
  5. Step 5: Solve for x
    x = 1,339,239.60/1,249.32
  6. Step 6: Final answer
    x = 1,071.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.