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Finding the Fourth Proportional to 1,664.75, 2,297.63 and 966.53

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Solution

The fourth proportional to 1,664.75, 2,297.63 and 966.53 is: 1,333.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.75 : 2,297.63 = 966.53 : x
  2. Step 2: Convert to fraction form
    1,664.75/2,297.63 = 966.53/x
  3. Step 3: Cross multiply
    1,664.75x = 2,297.63 × 966.53
  4. Step 4: Simplify right side
    1,664.75x = 2,220,728.32
  5. Step 5: Solve for x
    x = 2,220,728.32/1,664.75
  6. Step 6: Final answer
    x = 1,333.97

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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.