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Finding the Fourth Proportional to 1,164.32, 1,609.33 and 1,023.38

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Solution

The fourth proportional to 1,164.32, 1,609.33 and 1,023.38 is: 1,414.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.32 : 1,609.33 = 1,023.38 : x
  2. Step 2: Convert to fraction form
    1,164.32/1,609.33 = 1,023.38/x
  3. Step 3: Cross multiply
    1,164.32x = 1,609.33 × 1,023.38
  4. Step 4: Simplify right side
    1,164.32x = 1,646,956.14
  5. Step 5: Solve for x
    x = 1,646,956.14/1,164.32
  6. Step 6: Final answer
    x = 1,414.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.