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Finding the Fourth Proportional to 1,466.24, 2,199.93 and 643.94

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Solution

The fourth proportional to 1,466.24, 2,199.93 and 643.94 is: 966.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.24 : 2,199.93 = 643.94 : x
  2. Step 2: Convert to fraction form
    1,466.24/2,199.93 = 643.94/x
  3. Step 3: Cross multiply
    1,466.24x = 2,199.93 × 643.94
  4. Step 4: Simplify right side
    1,466.24x = 1,416,611.92
  5. Step 5: Solve for x
    x = 1,416,611.92/1,466.24
  6. Step 6: Final answer
    x = 966.16

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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.