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Finding the Fourth Proportional to 1,768.27, 2,652.48 and 598.30

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Solution

The fourth proportional to 1,768.27, 2,652.48 and 598.30 is: 897.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.27 : 2,652.48 = 598.30 : x
  2. Step 2: Convert to fraction form
    1,768.27/2,652.48 = 598.30/x
  3. Step 3: Cross multiply
    1,768.27x = 2,652.48 × 598.30
  4. Step 4: Simplify right side
    1,768.27x = 1,586,978.78
  5. Step 5: Solve for x
    x = 1,586,978.78/1,768.27
  6. Step 6: Final answer
    x = 897.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.