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Finding the Fourth Proportional to 798.31, 1,197.54 and 250.34

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Solution

The fourth proportional to 798.31, 1,197.54 and 250.34 is: 375.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.31 : 1,197.54 = 250.34 : x
  2. Step 2: Convert to fraction form
    798.31/1,197.54 = 250.34/x
  3. Step 3: Cross multiply
    798.31x = 1,197.54 × 250.34
  4. Step 4: Simplify right side
    798.31x = 299,795.16
  5. Step 5: Solve for x
    x = 299,795.16/798.31
  6. Step 6: Final answer
    x = 375.54

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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.