Home / 1,176.14-1,761.36-589.29

Finding the Fourth Proportional to 1,176.14, 1,761.36 and 589.29

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Solution

The fourth proportional to 1,176.14, 1,761.36 and 589.29 is: 882.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.14 : 1,761.36 = 589.29 : x
  2. Step 2: Convert to fraction form
    1,176.14/1,761.36 = 589.29/x
  3. Step 3: Cross multiply
    1,176.14x = 1,761.36 × 589.29
  4. Step 4: Simplify right side
    1,176.14x = 1,037,951.83
  5. Step 5: Solve for x
    x = 1,037,951.83/1,176.14
  6. Step 6: Final answer
    x = 882.51

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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.