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Finding the Fourth Proportional to 969.92, 1,454.66 and 276.66

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Solution

The fourth proportional to 969.92, 1,454.66 and 276.66 is: 414.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.92 : 1,454.66 = 276.66 : x
  2. Step 2: Convert to fraction form
    969.92/1,454.66 = 276.66/x
  3. Step 3: Cross multiply
    969.92x = 1,454.66 × 276.66
  4. Step 4: Simplify right side
    969.92x = 402,446.24
  5. Step 5: Solve for x
    x = 402,446.24/969.92
  6. Step 6: Final answer
    x = 414.93

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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.