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Finding the Fourth Proportional to 1,274.33, 1,911.26 and 543.31

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Solution

The fourth proportional to 1,274.33, 1,911.26 and 543.31 is: 814.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.33 : 1,911.26 = 543.31 : x
  2. Step 2: Convert to fraction form
    1,274.33/1,911.26 = 543.31/x
  3. Step 3: Cross multiply
    1,274.33x = 1,911.26 × 543.31
  4. Step 4: Simplify right side
    1,274.33x = 1,038,403.25
  5. Step 5: Solve for x
    x = 1,038,403.25/1,274.33
  6. Step 6: Final answer
    x = 814.86

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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.