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Finding the Fourth Proportional to 1,693.36, 2,539.97 and 597.73

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Solution

The fourth proportional to 1,693.36, 2,539.97 and 597.73 is: 896.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.36 : 2,539.97 = 597.73 : x
  2. Step 2: Convert to fraction form
    1,693.36/2,539.97 = 597.73/x
  3. Step 3: Cross multiply
    1,693.36x = 2,539.97 × 597.73
  4. Step 4: Simplify right side
    1,693.36x = 1,518,216.27
  5. Step 5: Solve for x
    x = 1,518,216.27/1,693.36
  6. Step 6: Final answer
    x = 896.57

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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.