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Finding the Fourth Proportional to 1,294.49, 1,785.90 and 829.01

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Solution

The fourth proportional to 1,294.49, 1,785.90 and 829.01 is: 1,143.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.49 : 1,785.90 = 829.01 : x
  2. Step 2: Convert to fraction form
    1,294.49/1,785.90 = 829.01/x
  3. Step 3: Cross multiply
    1,294.49x = 1,785.90 × 829.01
  4. Step 4: Simplify right side
    1,294.49x = 1,480,520.03
  5. Step 5: Solve for x
    x = 1,480,520.03/1,294.49
  6. Step 6: Final answer
    x = 1,143.71

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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.