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Finding the Fourth Proportional to 739.47, 1,103.91 and 713.85

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Solution

The fourth proportional to 739.47, 1,103.91 and 713.85 is: 1,065.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.47 : 1,103.91 = 713.85 : x
  2. Step 2: Convert to fraction form
    739.47/1,103.91 = 713.85/x
  3. Step 3: Cross multiply
    739.47x = 1,103.91 × 713.85
  4. Step 4: Simplify right side
    739.47x = 788,026.15
  5. Step 5: Solve for x
    x = 788,026.15/739.47
  6. Step 6: Final answer
    x = 1,065.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.