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Finding the Fourth Proportional to 1,772.76, 2,446.53 and 986.82

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Solution

The fourth proportional to 1,772.76, 2,446.53 and 986.82 is: 1,361.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.76 : 2,446.53 = 986.82 : x
  2. Step 2: Convert to fraction form
    1,772.76/2,446.53 = 986.82/x
  3. Step 3: Cross multiply
    1,772.76x = 2,446.53 × 986.82
  4. Step 4: Simplify right side
    1,772.76x = 2,414,284.73
  5. Step 5: Solve for x
    x = 2,414,284.73/1,772.76
  6. Step 6: Final answer
    x = 1,361.88

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.