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Finding the Fourth Proportional to 1,364.13, 1,882.50 and 743.13

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Solution

The fourth proportional to 1,364.13, 1,882.50 and 743.13 is: 1,025.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.13 : 1,882.50 = 743.13 : x
  2. Step 2: Convert to fraction form
    1,364.13/1,882.50 = 743.13/x
  3. Step 3: Cross multiply
    1,364.13x = 1,882.50 × 743.13
  4. Step 4: Simplify right side
    1,364.13x = 1,398,942.23
  5. Step 5: Solve for x
    x = 1,398,942.23/1,364.13
  6. Step 6: Final answer
    x = 1,025.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.