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Finding the Fourth Proportional to 697.95, 1,046.61 and 210.87

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Solution

The fourth proportional to 697.95, 1,046.61 and 210.87 is: 316.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.95 : 1,046.61 = 210.87 : x
  2. Step 2: Convert to fraction form
    697.95/1,046.61 = 210.87/x
  3. Step 3: Cross multiply
    697.95x = 1,046.61 × 210.87
  4. Step 4: Simplify right side
    697.95x = 220,698.65
  5. Step 5: Solve for x
    x = 220,698.65/697.95
  6. Step 6: Final answer
    x = 316.21

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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.