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Finding the Fourth Proportional to 974.90, 1,459.77 and 682.75

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Solution

The fourth proportional to 974.90, 1,459.77 and 682.75 is: 1,022.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.90 : 1,459.77 = 682.75 : x
  2. Step 2: Convert to fraction form
    974.90/1,459.77 = 682.75/x
  3. Step 3: Cross multiply
    974.90x = 1,459.77 × 682.75
  4. Step 4: Simplify right side
    974.90x = 996,652.86
  5. Step 5: Solve for x
    x = 996,652.86/974.90
  6. Step 6: Final answer
    x = 1,022.31

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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.