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Finding the Fourth Proportional to 1,497.11, 2,065.99 and 834.02

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Solution

The fourth proportional to 1,497.11, 2,065.99 and 834.02 is: 1,150.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.11 : 2,065.99 = 834.02 : x
  2. Step 2: Convert to fraction form
    1,497.11/2,065.99 = 834.02/x
  3. Step 3: Cross multiply
    1,497.11x = 2,065.99 × 834.02
  4. Step 4: Simplify right side
    1,497.11x = 1,723,076.98
  5. Step 5: Solve for x
    x = 1,723,076.98/1,497.11
  6. Step 6: Final answer
    x = 1,150.94

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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.