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Finding the Fourth Proportional to 1,494.11, 2,061.84 and 830.94

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Solution

The fourth proportional to 1,494.11, 2,061.84 and 830.94 is: 1,146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.11 : 2,061.84 = 830.94 : x
  2. Step 2: Convert to fraction form
    1,494.11/2,061.84 = 830.94/x
  3. Step 3: Cross multiply
    1,494.11x = 2,061.84 × 830.94
  4. Step 4: Simplify right side
    1,494.11x = 1,713,265.33
  5. Step 5: Solve for x
    x = 1,713,265.33/1,494.11
  6. Step 6: Final answer
    x = 1,146.68

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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.