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Finding the Fourth Proportional to 681.53, 1,021.95 and 212.93

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Solution

The fourth proportional to 681.53, 1,021.95 and 212.93 is: 319.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.53 : 1,021.95 = 212.93 : x
  2. Step 2: Convert to fraction form
    681.53/1,021.95 = 212.93/x
  3. Step 3: Cross multiply
    681.53x = 1,021.95 × 212.93
  4. Step 4: Simplify right side
    681.53x = 217,598.70
  5. Step 5: Solve for x
    x = 217,598.70/681.53
  6. Step 6: Final answer
    x = 319.28

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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.