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Finding the Fourth Proportional to 698.04, 1,046.90 and 210.98

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Solution

The fourth proportional to 698.04, 1,046.90 and 210.98 is: 316.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.04 : 1,046.90 = 210.98 : x
  2. Step 2: Convert to fraction form
    698.04/1,046.90 = 210.98/x
  3. Step 3: Cross multiply
    698.04x = 1,046.90 × 210.98
  4. Step 4: Simplify right side
    698.04x = 220,868.67
  5. Step 5: Solve for x
    x = 220,868.67/698.04
  6. Step 6: Final answer
    x = 316.41

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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.