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Finding the Fourth Proportional to 698.61, 1,047.64 and 229.97

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Solution

The fourth proportional to 698.61, 1,047.64 and 229.97 is: 344.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.61 : 1,047.64 = 229.97 : x
  2. Step 2: Convert to fraction form
    698.61/1,047.64 = 229.97/x
  3. Step 3: Cross multiply
    698.61x = 1,047.64 × 229.97
  4. Step 4: Simplify right side
    698.61x = 240,925.77
  5. Step 5: Solve for x
    x = 240,925.77/698.61
  6. Step 6: Final answer
    x = 344.86

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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.