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Finding the Fourth Proportional to 1,119.29, 1,678.97 and 426.29

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Solution

The fourth proportional to 1,119.29, 1,678.97 and 426.29 is: 639.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.29 : 1,678.97 = 426.29 : x
  2. Step 2: Convert to fraction form
    1,119.29/1,678.97 = 426.29/x
  3. Step 3: Cross multiply
    1,119.29x = 1,678.97 × 426.29
  4. Step 4: Simplify right side
    1,119.29x = 715,725.99
  5. Step 5: Solve for x
    x = 715,725.99/1,119.29
  6. Step 6: Final answer
    x = 639.45

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