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Finding the Fourth Proportional to 1,029.13, 1,419.21 and 674.95

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Solution

The fourth proportional to 1,029.13, 1,419.21 and 674.95 is: 930.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.13 : 1,419.21 = 674.95 : x
  2. Step 2: Convert to fraction form
    1,029.13/1,419.21 = 674.95/x
  3. Step 3: Cross multiply
    1,029.13x = 1,419.21 × 674.95
  4. Step 4: Simplify right side
    1,029.13x = 957,895.79
  5. Step 5: Solve for x
    x = 957,895.79/1,029.13
  6. Step 6: Final answer
    x = 930.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.