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Finding the Fourth Proportional to 1,118.82, 1,678.23 and 470.28

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Solution

The fourth proportional to 1,118.82, 1,678.23 and 470.28 is: 705.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.82 : 1,678.23 = 470.28 : x
  2. Step 2: Convert to fraction form
    1,118.82/1,678.23 = 470.28/x
  3. Step 3: Cross multiply
    1,118.82x = 1,678.23 × 470.28
  4. Step 4: Simplify right side
    1,118.82x = 789,238.00
  5. Step 5: Solve for x
    x = 789,238.00/1,118.82
  6. Step 6: Final answer
    x = 705.42

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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.