Home / 1,063.29-1,596.42-977.43

Finding the Fourth Proportional to 1,063.29, 1,596.42 and 977.43

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Solution

The fourth proportional to 1,063.29, 1,596.42 and 977.43 is: 1,467.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.29 : 1,596.42 = 977.43 : x
  2. Step 2: Convert to fraction form
    1,063.29/1,596.42 = 977.43/x
  3. Step 3: Cross multiply
    1,063.29x = 1,596.42 × 977.43
  4. Step 4: Simplify right side
    1,063.29x = 1,560,388.80
  5. Step 5: Solve for x
    x = 1,560,388.80/1,063.29
  6. Step 6: Final answer
    x = 1,467.51

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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.