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Finding the Fourth Proportional to 1,112.68, 1,669.20 and 343

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Solution

The fourth proportional to 1,112.68, 1,669.20 and 343 is: 514.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.68 : 1,669.20 = 343 : x
  2. Step 2: Convert to fraction form
    1,112.68/1,669.20 = 343/x
  3. Step 3: Cross multiply
    1,112.68x = 1,669.20 × 343
  4. Step 4: Simplify right side
    1,112.68x = 572,535.60
  5. Step 5: Solve for x
    x = 572,535.60/1,112.68
  6. Step 6: Final answer
    x = 514.56

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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.