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Finding the Fourth Proportional to 798.50, 1,197.76 and 342.50

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Solution

The fourth proportional to 798.50, 1,197.76 and 342.50 is: 513.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.50 : 1,197.76 = 342.50 : x
  2. Step 2: Convert to fraction form
    798.50/1,197.76 = 342.50/x
  3. Step 3: Cross multiply
    798.50x = 1,197.76 × 342.50
  4. Step 4: Simplify right side
    798.50x = 410,232.80
  5. Step 5: Solve for x
    x = 410,232.80/798.50
  6. Step 6: Final answer
    x = 513.75

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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.