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Finding the Fourth Proportional to 1,424.65, 1,965.23 and 1,159.37

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Solution

The fourth proportional to 1,424.65, 1,965.23 and 1,159.37 is: 1,599.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.65 : 1,965.23 = 1,159.37 : x
  2. Step 2: Convert to fraction form
    1,424.65/1,965.23 = 1,159.37/x
  3. Step 3: Cross multiply
    1,424.65x = 1,965.23 × 1,159.37
  4. Step 4: Simplify right side
    1,424.65x = 2,278,436.52
  5. Step 5: Solve for x
    x = 2,278,436.52/1,424.65
  6. Step 6: Final answer
    x = 1,599.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.