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Finding the Fourth Proportional to 1,156.72, 1,736.02 and 609.42

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Solution

The fourth proportional to 1,156.72, 1,736.02 and 609.42 is: 914.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.72 : 1,736.02 = 609.42 : x
  2. Step 2: Convert to fraction form
    1,156.72/1,736.02 = 609.42/x
  3. Step 3: Cross multiply
    1,156.72x = 1,736.02 × 609.42
  4. Step 4: Simplify right side
    1,156.72x = 1,057,965.31
  5. Step 5: Solve for x
    x = 1,057,965.31/1,156.72
  6. Step 6: Final answer
    x = 914.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.