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Finding the Fourth Proportional to 1,291.95, 1,936.75 and 829.86

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Solution

The fourth proportional to 1,291.95, 1,936.75 and 829.86 is: 1,244.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.95 : 1,936.75 = 829.86 : x
  2. Step 2: Convert to fraction form
    1,291.95/1,936.75 = 829.86/x
  3. Step 3: Cross multiply
    1,291.95x = 1,936.75 × 829.86
  4. Step 4: Simplify right side
    1,291.95x = 1,607,231.36
  5. Step 5: Solve for x
    x = 1,607,231.36/1,291.95
  6. Step 6: Final answer
    x = 1,244.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.