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Finding the Fourth Proportional to 1,364.76, 2,047.83 and 543.09

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Solution

The fourth proportional to 1,364.76, 2,047.83 and 543.09 is: 814.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.76 : 2,047.83 = 543.09 : x
  2. Step 2: Convert to fraction form
    1,364.76/2,047.83 = 543.09/x
  3. Step 3: Cross multiply
    1,364.76x = 2,047.83 × 543.09
  4. Step 4: Simplify right side
    1,364.76x = 1,112,155.99
  5. Step 5: Solve for x
    x = 1,112,155.99/1,364.76
  6. Step 6: Final answer
    x = 814.91

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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.