Home / 1,497.13-2,065.96-834.04

Finding the Fourth Proportional to 1,497.13, 2,065.96 and 834.04

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Solution

The fourth proportional to 1,497.13, 2,065.96 and 834.04 is: 1,150.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.13 : 2,065.96 = 834.04 : x
  2. Step 2: Convert to fraction form
    1,497.13/2,065.96 = 834.04/x
  3. Step 3: Cross multiply
    1,497.13x = 2,065.96 × 834.04
  4. Step 4: Simplify right side
    1,497.13x = 1,723,093.28
  5. Step 5: Solve for x
    x = 1,723,093.28/1,497.13
  6. Step 6: Final answer
    x = 1,150.93

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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.