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Finding the Fourth Proportional to 598.14, 898.14 and 517.95

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Solution

The fourth proportional to 598.14, 898.14 and 517.95 is: 777.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.14 : 898.14 = 517.95 : x
  2. Step 2: Convert to fraction form
    598.14/898.14 = 517.95/x
  3. Step 3: Cross multiply
    598.14x = 898.14 × 517.95
  4. Step 4: Simplify right side
    598.14x = 465,191.61
  5. Step 5: Solve for x
    x = 465,191.61/598.14
  6. Step 6: Final answer
    x = 777.73

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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.