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Finding the Fourth Proportional to 698.10, 1,047.29 and 351.15

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Solution

The fourth proportional to 698.10, 1,047.29 and 351.15 is: 526.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.10 : 1,047.29 = 351.15 : x
  2. Step 2: Convert to fraction form
    698.10/1,047.29 = 351.15/x
  3. Step 3: Cross multiply
    698.10x = 1,047.29 × 351.15
  4. Step 4: Simplify right side
    698.10x = 367,754.13
  5. Step 5: Solve for x
    x = 367,754.13/698.10
  6. Step 6: Final answer
    x = 526.79

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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.