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Finding the Fourth Proportional to 817.86, 1,227.15 and 598.70

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Solution

The fourth proportional to 817.86, 1,227.15 and 598.70 is: 898.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.86 : 1,227.15 = 598.70 : x
  2. Step 2: Convert to fraction form
    817.86/1,227.15 = 598.70/x
  3. Step 3: Cross multiply
    817.86x = 1,227.15 × 598.70
  4. Step 4: Simplify right side
    817.86x = 734,688.57
  5. Step 5: Solve for x
    x = 734,688.57/817.86
  6. Step 6: Final answer
    x = 898.31

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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.