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Finding the Fourth Proportional to 698.54, 1,047.80 and 351.78

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Solution

The fourth proportional to 698.54, 1,047.80 and 351.78 is: 527.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.54 : 1,047.80 = 351.78 : x
  2. Step 2: Convert to fraction form
    698.54/1,047.80 = 351.78/x
  3. Step 3: Cross multiply
    698.54x = 1,047.80 × 351.78
  4. Step 4: Simplify right side
    698.54x = 368,593.33
  5. Step 5: Solve for x
    x = 368,593.33/698.54
  6. Step 6: Final answer
    x = 527.67

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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.