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Finding the Fourth Proportional to 1,339.44, 2,009.24 and 461.60

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Solution

The fourth proportional to 1,339.44, 2,009.24 and 461.60 is: 692.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.44 : 2,009.24 = 461.60 : x
  2. Step 2: Convert to fraction form
    1,339.44/2,009.24 = 461.60/x
  3. Step 3: Cross multiply
    1,339.44x = 2,009.24 × 461.60
  4. Step 4: Simplify right side
    1,339.44x = 927,465.18
  5. Step 5: Solve for x
    x = 927,465.18/1,339.44
  6. Step 6: Final answer
    x = 692.43

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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.