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Finding the Fourth Proportional to 598.67, 898.61 and 537.38

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Solution

The fourth proportional to 598.67, 898.61 and 537.38 is: 806.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.67 : 898.61 = 537.38 : x
  2. Step 2: Convert to fraction form
    598.67/898.61 = 537.38/x
  3. Step 3: Cross multiply
    598.67x = 898.61 × 537.38
  4. Step 4: Simplify right side
    598.67x = 482,887.86
  5. Step 5: Solve for x
    x = 482,887.86/598.67
  6. Step 6: Final answer
    x = 806.61

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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.