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Finding the Fourth Proportional to 739, 1,108.47 and 430.63

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Solution

The fourth proportional to 739, 1,108.47 and 430.63 is: 645.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    739 : 1,108.47 = 430.63 : x
  2. Step 2: Convert to fraction form
    739/1,108.47 = 430.63/x
  3. Step 3: Cross multiply
    739x = 1,108.47 × 430.63
  4. Step 4: Simplify right side
    739x = 477,340.44
  5. Step 5: Solve for x
    x = 477,340.44/739
  6. Step 6: Final answer
    x = 645.93

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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.