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Finding the Fourth Proportional to 738.77, 1,108.15 and 252.14

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Solution

The fourth proportional to 738.77, 1,108.15 and 252.14 is: 378.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.77 : 1,108.15 = 252.14 : x
  2. Step 2: Convert to fraction form
    738.77/1,108.15 = 252.14/x
  3. Step 3: Cross multiply
    738.77x = 1,108.15 × 252.14
  4. Step 4: Simplify right side
    738.77x = 279,402.77
  5. Step 5: Solve for x
    x = 279,402.77/738.77
  6. Step 6: Final answer
    x = 378.20

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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.