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Finding the Fourth Proportional to 1,693.50, 2,539.57 and 523.24

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Solution

The fourth proportional to 1,693.50, 2,539.57 and 523.24 is: 784.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.50 : 2,539.57 = 523.24 : x
  2. Step 2: Convert to fraction form
    1,693.50/2,539.57 = 523.24/x
  3. Step 3: Cross multiply
    1,693.50x = 2,539.57 × 523.24
  4. Step 4: Simplify right side
    1,693.50x = 1,328,804.61
  5. Step 5: Solve for x
    x = 1,328,804.61/1,693.50
  6. Step 6: Final answer
    x = 784.65

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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.