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Finding the Fourth Proportional to 1,713.22, 2,569.53 and 739.41

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Solution

The fourth proportional to 1,713.22, 2,569.53 and 739.41 is: 1,108.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.22 : 2,569.53 = 739.41 : x
  2. Step 2: Convert to fraction form
    1,713.22/2,569.53 = 739.41/x
  3. Step 3: Cross multiply
    1,713.22x = 2,569.53 × 739.41
  4. Step 4: Simplify right side
    1,713.22x = 1,899,936.18
  5. Step 5: Solve for x
    x = 1,899,936.18/1,713.22
  6. Step 6: Final answer
    x = 1,108.99

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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.