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Finding the Fourth Proportional to 1,465.67, 2,198.26 and 541.66

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Solution

The fourth proportional to 1,465.67, 2,198.26 and 541.66 is: 812.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.67 : 2,198.26 = 541.66 : x
  2. Step 2: Convert to fraction form
    1,465.67/2,198.26 = 541.66/x
  3. Step 3: Cross multiply
    1,465.67x = 2,198.26 × 541.66
  4. Step 4: Simplify right side
    1,465.67x = 1,190,695.81
  5. Step 5: Solve for x
    x = 1,190,695.81/1,465.67
  6. Step 6: Final answer
    x = 812.39

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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.