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Finding the Fourth Proportional to 941.74, 1,411.24 and 825.90

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Solution

The fourth proportional to 941.74, 1,411.24 and 825.90 is: 1,237.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.74 : 1,411.24 = 825.90 : x
  2. Step 2: Convert to fraction form
    941.74/1,411.24 = 825.90/x
  3. Step 3: Cross multiply
    941.74x = 1,411.24 × 825.90
  4. Step 4: Simplify right side
    941.74x = 1,165,543.12
  5. Step 5: Solve for x
    x = 1,165,543.12/941.74
  6. Step 6: Final answer
    x = 1,237.65

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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.