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Finding the Fourth Proportional to 866.23, 1,298.95 and 281.12

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Solution

The fourth proportional to 866.23, 1,298.95 and 281.12 is: 421.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.23 : 1,298.95 = 281.12 : x
  2. Step 2: Convert to fraction form
    866.23/1,298.95 = 281.12/x
  3. Step 3: Cross multiply
    866.23x = 1,298.95 × 281.12
  4. Step 4: Simplify right side
    866.23x = 365,153.63
  5. Step 5: Solve for x
    x = 365,153.63/866.23
  6. Step 6: Final answer
    x = 421.54

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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.