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Finding the Fourth Proportional to 698.02, 1,047.14 and 236.13

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Solution

The fourth proportional to 698.02, 1,047.14 and 236.13 is: 354.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.02 : 1,047.14 = 236.13 : x
  2. Step 2: Convert to fraction form
    698.02/1,047.14 = 236.13/x
  3. Step 3: Cross multiply
    698.02x = 1,047.14 × 236.13
  4. Step 4: Simplify right side
    698.02x = 247,258.75
  5. Step 5: Solve for x
    x = 247,258.75/698.02
  6. Step 6: Final answer
    x = 354.23

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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.