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Finding the Fourth Proportional to 1,112.65, 1,668.01 and 419.14

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Solution

The fourth proportional to 1,112.65, 1,668.01 and 419.14 is: 628.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.65 : 1,668.01 = 419.14 : x
  2. Step 2: Convert to fraction form
    1,112.65/1,668.01 = 419.14/x
  3. Step 3: Cross multiply
    1,112.65x = 1,668.01 × 419.14
  4. Step 4: Simplify right side
    1,112.65x = 699,131.53
  5. Step 5: Solve for x
    x = 699,131.53/1,112.65
  6. Step 6: Final answer
    x = 628.35

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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.