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Finding the Fourth Proportional to 1,427.07, 1,969.07 and 829.55

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Solution

The fourth proportional to 1,427.07, 1,969.07 and 829.55 is: 1,144.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.07 : 1,969.07 = 829.55 : x
  2. Step 2: Convert to fraction form
    1,427.07/1,969.07 = 829.55/x
  3. Step 3: Cross multiply
    1,427.07x = 1,969.07 × 829.55
  4. Step 4: Simplify right side
    1,427.07x = 1,633,437.87
  5. Step 5: Solve for x
    x = 1,633,437.87/1,427.07
  6. Step 6: Final answer
    x = 1,144.61

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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.