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Finding the Fourth Proportional to 1,466.50, 2,199.75 and 440.50

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Solution

The fourth proportional to 1,466.50, 2,199.75 and 440.50 is: 660.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.50 : 2,199.75 = 440.50 : x
  2. Step 2: Convert to fraction form
    1,466.50/2,199.75 = 440.50/x
  3. Step 3: Cross multiply
    1,466.50x = 2,199.75 × 440.50
  4. Step 4: Simplify right side
    1,466.50x = 968,989.88
  5. Step 5: Solve for x
    x = 968,989.88/1,466.50
  6. Step 6: Final answer
    x = 660.75

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Double scale
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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.