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Finding the Fourth Proportional to 1,264.05, 1,893.60 and 829.89

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Solution

The fourth proportional to 1,264.05, 1,893.60 and 829.89 is: 1,243.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.05 : 1,893.60 = 829.89 : x
  2. Step 2: Convert to fraction form
    1,264.05/1,893.60 = 829.89/x
  3. Step 3: Cross multiply
    1,264.05x = 1,893.60 × 829.89
  4. Step 4: Simplify right side
    1,264.05x = 1,571,479.70
  5. Step 5: Solve for x
    x = 1,571,479.70/1,264.05
  6. Step 6: Final answer
    x = 1,243.21

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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.