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Finding the Fourth Proportional to 1,029.81, 1,421.26 and 793.56

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Solution

The fourth proportional to 1,029.81, 1,421.26 and 793.56 is: 1,095.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.81 : 1,421.26 = 793.56 : x
  2. Step 2: Convert to fraction form
    1,029.81/1,421.26 = 793.56/x
  3. Step 3: Cross multiply
    1,029.81x = 1,421.26 × 793.56
  4. Step 4: Simplify right side
    1,029.81x = 1,127,862.90
  5. Step 5: Solve for x
    x = 1,127,862.90/1,029.81
  6. Step 6: Final answer
    x = 1,095.22

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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.