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Finding the Fourth Proportional to 759.38, 1,139.03 and 412.63

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Solution

The fourth proportional to 759.38, 1,139.03 and 412.63 is: 618.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.38 : 1,139.03 = 412.63 : x
  2. Step 2: Convert to fraction form
    759.38/1,139.03 = 412.63/x
  3. Step 3: Cross multiply
    759.38x = 1,139.03 × 412.63
  4. Step 4: Simplify right side
    759.38x = 469,994.36
  5. Step 5: Solve for x
    x = 469,994.36/759.38
  6. Step 6: Final answer
    x = 618.91

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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.