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Finding the Fourth Proportional to 1,209.71, 1,814.60 and 593.91

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Solution

The fourth proportional to 1,209.71, 1,814.60 and 593.91 is: 890.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.71 : 1,814.60 = 593.91 : x
  2. Step 2: Convert to fraction form
    1,209.71/1,814.60 = 593.91/x
  3. Step 3: Cross multiply
    1,209.71x = 1,814.60 × 593.91
  4. Step 4: Simplify right side
    1,209.71x = 1,077,709.09
  5. Step 5: Solve for x
    x = 1,077,709.09/1,209.71
  6. Step 6: Final answer
    x = 890.88

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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.