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Finding the Fourth Proportional to 739.63, 1,109.46 and 465.35

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Solution

The fourth proportional to 739.63, 1,109.46 and 465.35 is: 698.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.63 : 1,109.46 = 465.35 : x
  2. Step 2: Convert to fraction form
    739.63/1,109.46 = 465.35/x
  3. Step 3: Cross multiply
    739.63x = 1,109.46 × 465.35
  4. Step 4: Simplify right side
    739.63x = 516,283.41
  5. Step 5: Solve for x
    x = 516,283.41/739.63
  6. Step 6: Final answer
    x = 698.03

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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.