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Finding the Fourth Proportional to 1,165.05, 1,747.37 and 385.07

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Solution

The fourth proportional to 1,165.05, 1,747.37 and 385.07 is: 577.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.05 : 1,747.37 = 385.07 : x
  2. Step 2: Convert to fraction form
    1,165.05/1,747.37 = 385.07/x
  3. Step 3: Cross multiply
    1,165.05x = 1,747.37 × 385.07
  4. Step 4: Simplify right side
    1,165.05x = 672,849.10
  5. Step 5: Solve for x
    x = 672,849.10/1,165.05
  6. Step 6: Final answer
    x = 577.53

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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.