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Finding the Fourth Proportional to 1,768.62, 2,653.22 and 598.73

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Solution

The fourth proportional to 1,768.62, 2,653.22 and 598.73 is: 898.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.62 : 2,653.22 = 598.73 : x
  2. Step 2: Convert to fraction form
    1,768.62/2,653.22 = 598.73/x
  3. Step 3: Cross multiply
    1,768.62x = 2,653.22 × 598.73
  4. Step 4: Simplify right side
    1,768.62x = 1,588,562.41
  5. Step 5: Solve for x
    x = 1,588,562.41/1,768.62
  6. Step 6: Final answer
    x = 898.19

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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.