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Finding the Fourth Proportional to 1,340, 1,849.23 and 750.57

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Solution

The fourth proportional to 1,340, 1,849.23 and 750.57 is: 1,035.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340 : 1,849.23 = 750.57 : x
  2. Step 2: Convert to fraction form
    1,340/1,849.23 = 750.57/x
  3. Step 3: Cross multiply
    1,340x = 1,849.23 × 750.57
  4. Step 4: Simplify right side
    1,340x = 1,387,976.56
  5. Step 5: Solve for x
    x = 1,387,976.56/1,340
  6. Step 6: Final answer
    x = 1,035.80

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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.