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Finding the Fourth Proportional to 1,118.72, 1,675.64 and 540.38

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Solution

The fourth proportional to 1,118.72, 1,675.64 and 540.38 is: 809.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.72 : 1,675.64 = 540.38 : x
  2. Step 2: Convert to fraction form
    1,118.72/1,675.64 = 540.38/x
  3. Step 3: Cross multiply
    1,118.72x = 1,675.64 × 540.38
  4. Step 4: Simplify right side
    1,118.72x = 905,471.26
  5. Step 5: Solve for x
    x = 905,471.26/1,118.72
  6. Step 6: Final answer
    x = 809.39

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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.