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Finding the Fourth Proportional to 1,145.20, 1,717.38 and 375.52

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Solution

The fourth proportional to 1,145.20, 1,717.38 and 375.52 is: 563.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.20 : 1,717.38 = 375.52 : x
  2. Step 2: Convert to fraction form
    1,145.20/1,717.38 = 375.52/x
  3. Step 3: Cross multiply
    1,145.20x = 1,717.38 × 375.52
  4. Step 4: Simplify right side
    1,145.20x = 644,910.54
  5. Step 5: Solve for x
    x = 644,910.54/1,145.20
  6. Step 6: Final answer
    x = 563.14

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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.