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Finding the Fourth Proportional to 1,119.06, 1,678.72 and 426.25

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Solution

The fourth proportional to 1,119.06, 1,678.72 and 426.25 is: 639.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.06 : 1,678.72 = 426.25 : x
  2. Step 2: Convert to fraction form
    1,119.06/1,678.72 = 426.25/x
  3. Step 3: Cross multiply
    1,119.06x = 1,678.72 × 426.25
  4. Step 4: Simplify right side
    1,119.06x = 715,554.40
  5. Step 5: Solve for x
    x = 715,554.40/1,119.06
  6. Step 6: Final answer
    x = 639.42

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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.