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Finding the Fourth Proportional to 970.27, 1,454.04 and 825.42

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Solution

The fourth proportional to 970.27, 1,454.04 and 825.42 is: 1,236.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.27 : 1,454.04 = 825.42 : x
  2. Step 2: Convert to fraction form
    970.27/1,454.04 = 825.42/x
  3. Step 3: Cross multiply
    970.27x = 1,454.04 × 825.42
  4. Step 4: Simplify right side
    970.27x = 1,200,193.70
  5. Step 5: Solve for x
    x = 1,200,193.70/970.27
  6. Step 6: Final answer
    x = 1,236.97

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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.