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Finding the Fourth Proportional to 1,364.86, 2,048.24 and 543.05

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Solution

The fourth proportional to 1,364.86, 2,048.24 and 543.05 is: 814.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.86 : 2,048.24 = 543.05 : x
  2. Step 2: Convert to fraction form
    1,364.86/2,048.24 = 543.05/x
  3. Step 3: Cross multiply
    1,364.86x = 2,048.24 × 543.05
  4. Step 4: Simplify right side
    1,364.86x = 1,112,296.73
  5. Step 5: Solve for x
    x = 1,112,296.73/1,364.86
  6. Step 6: Final answer
    x = 814.95

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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.