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Finding the Fourth Proportional to 1,464.38, 2,194.26 and 538.66

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Solution

The fourth proportional to 1,464.38, 2,194.26 and 538.66 is: 807.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.38 : 2,194.26 = 538.66 : x
  2. Step 2: Convert to fraction form
    1,464.38/2,194.26 = 538.66/x
  3. Step 3: Cross multiply
    1,464.38x = 2,194.26 × 538.66
  4. Step 4: Simplify right side
    1,464.38x = 1,181,960.09
  5. Step 5: Solve for x
    x = 1,181,960.09/1,464.38
  6. Step 6: Final answer
    x = 807.14

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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.