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Finding the Fourth Proportional to 1,309.39, 1,964.67 and 579.18

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Solution

The fourth proportional to 1,309.39, 1,964.67 and 579.18 is: 869.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.39 : 1,964.67 = 579.18 : x
  2. Step 2: Convert to fraction form
    1,309.39/1,964.67 = 579.18/x
  3. Step 3: Cross multiply
    1,309.39x = 1,964.67 × 579.18
  4. Step 4: Simplify right side
    1,309.39x = 1,137,897.57
  5. Step 5: Solve for x
    x = 1,137,897.57/1,309.39
  6. Step 6: Final answer
    x = 869.03

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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.