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Finding the Fourth Proportional to 1,339.31, 2,009.10 and 461.69

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Solution

The fourth proportional to 1,339.31, 2,009.10 and 461.69 is: 692.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.31 : 2,009.10 = 461.69 : x
  2. Step 2: Convert to fraction form
    1,339.31/2,009.10 = 461.69/x
  3. Step 3: Cross multiply
    1,339.31x = 2,009.10 × 461.69
  4. Step 4: Simplify right side
    1,339.31x = 927,587.57
  5. Step 5: Solve for x
    x = 927,587.57/1,339.31
  6. Step 6: Final answer
    x = 692.59

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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.