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Finding the Fourth Proportional to 912.21, 1,374.67 and 825.61

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Solution

The fourth proportional to 912.21, 1,374.67 and 825.61 is: 1,244.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.21 : 1,374.67 = 825.61 : x
  2. Step 2: Convert to fraction form
    912.21/1,374.67 = 825.61/x
  3. Step 3: Cross multiply
    912.21x = 1,374.67 × 825.61
  4. Step 4: Simplify right side
    912.21x = 1,134,941.30
  5. Step 5: Solve for x
    x = 1,134,941.30/912.21
  6. Step 6: Final answer
    x = 1,244.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.