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Finding the Fourth Proportional to 1,466.63, 2,199.92 and 541.83

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Solution

The fourth proportional to 1,466.63, 2,199.92 and 541.83 is: 812.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.63 : 2,199.92 = 541.83 : x
  2. Step 2: Convert to fraction form
    1,466.63/2,199.92 = 541.83/x
  3. Step 3: Cross multiply
    1,466.63x = 2,199.92 × 541.83
  4. Step 4: Simplify right side
    1,466.63x = 1,191,979.94
  5. Step 5: Solve for x
    x = 1,191,979.94/1,466.63
  6. Step 6: Final answer
    x = 812.74

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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.