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Finding the Fourth Proportional to 1,213.56, 1,818.74 and 562.86

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Solution

The fourth proportional to 1,213.56, 1,818.74 and 562.86 is: 843.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.56 : 1,818.74 = 562.86 : x
  2. Step 2: Convert to fraction form
    1,213.56/1,818.74 = 562.86/x
  3. Step 3: Cross multiply
    1,213.56x = 1,818.74 × 562.86
  4. Step 4: Simplify right side
    1,213.56x = 1,023,696.00
  5. Step 5: Solve for x
    x = 1,023,696.00/1,213.56
  6. Step 6: Final answer
    x = 843.55

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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.