Home / 1,497.23-2,065.99-834.04

Finding the Fourth Proportional to 1,497.23, 2,065.99 and 834.04

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Solution

The fourth proportional to 1,497.23, 2,065.99 and 834.04 is: 1,150.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.23 : 2,065.99 = 834.04 : x
  2. Step 2: Convert to fraction form
    1,497.23/2,065.99 = 834.04/x
  3. Step 3: Cross multiply
    1,497.23x = 2,065.99 × 834.04
  4. Step 4: Simplify right side
    1,497.23x = 1,723,120.36
  5. Step 5: Solve for x
    x = 1,723,120.36/1,497.23
  6. Step 6: Final answer
    x = 1,150.87

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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.