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Finding the Fourth Proportional to 598.92, 897.01 and 538.78

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Solution

The fourth proportional to 598.92, 897.01 and 538.78 is: 806.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.92 : 897.01 = 538.78 : x
  2. Step 2: Convert to fraction form
    598.92/897.01 = 538.78/x
  3. Step 3: Cross multiply
    598.92x = 897.01 × 538.78
  4. Step 4: Simplify right side
    598.92x = 483,291.05
  5. Step 5: Solve for x
    x = 483,291.05/598.92
  6. Step 6: Final answer
    x = 806.94

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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.