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Finding the Fourth Proportional to 1,466.66, 2,198.43 and 528.98

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Solution

The fourth proportional to 1,466.66, 2,198.43 and 528.98 is: 792.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.66 : 2,198.43 = 528.98 : x
  2. Step 2: Convert to fraction form
    1,466.66/2,198.43 = 528.98/x
  3. Step 3: Cross multiply
    1,466.66x = 2,198.43 × 528.98
  4. Step 4: Simplify right side
    1,466.66x = 1,162,914.51
  5. Step 5: Solve for x
    x = 1,162,914.51/1,466.66
  6. Step 6: Final answer
    x = 792.90

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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.