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Finding the Fourth Proportional to 1,112.45, 1,668.71 and 463.24

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Solution

The fourth proportional to 1,112.45, 1,668.71 and 463.24 is: 694.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.45 : 1,668.71 = 463.24 : x
  2. Step 2: Convert to fraction form
    1,112.45/1,668.71 = 463.24/x
  3. Step 3: Cross multiply
    1,112.45x = 1,668.71 × 463.24
  4. Step 4: Simplify right side
    1,112.45x = 773,010.21
  5. Step 5: Solve for x
    x = 773,010.21/1,112.45
  6. Step 6: Final answer
    x = 694.87

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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.