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Finding the Fourth Proportional to 739.74, 1,109.26 and 431.66

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Solution

The fourth proportional to 739.74, 1,109.26 and 431.66 is: 647.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.74 : 1,109.26 = 431.66 : x
  2. Step 2: Convert to fraction form
    739.74/1,109.26 = 431.66/x
  3. Step 3: Cross multiply
    739.74x = 1,109.26 × 431.66
  4. Step 4: Simplify right side
    739.74x = 478,823.17
  5. Step 5: Solve for x
    x = 478,823.17/739.74
  6. Step 6: Final answer
    x = 647.29

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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.