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Finding the Fourth Proportional to 1,693.27, 2,539.87 and 523.19

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Solution

The fourth proportional to 1,693.27, 2,539.87 and 523.19 is: 784.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.27 : 2,539.87 = 523.19 : x
  2. Step 2: Convert to fraction form
    1,693.27/2,539.87 = 523.19/x
  3. Step 3: Cross multiply
    1,693.27x = 2,539.87 × 523.19
  4. Step 4: Simplify right side
    1,693.27x = 1,328,834.59
  5. Step 5: Solve for x
    x = 1,328,834.59/1,693.27
  6. Step 6: Final answer
    x = 784.77

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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.