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Finding the Fourth Proportional to 1,466.80, 2,198.96 and 601.72

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Solution

The fourth proportional to 1,466.80, 2,198.96 and 601.72 is: 902.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.80 : 2,198.96 = 601.72 : x
  2. Step 2: Convert to fraction form
    1,466.80/2,198.96 = 601.72/x
  3. Step 3: Cross multiply
    1,466.80x = 2,198.96 × 601.72
  4. Step 4: Simplify right side
    1,466.80x = 1,323,158.21
  5. Step 5: Solve for x
    x = 1,323,158.21/1,466.80
  6. Step 6: Final answer
    x = 902.07

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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.