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Finding the Fourth Proportional to 1,238.24, 1,857.15 and 507.62

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Solution

The fourth proportional to 1,238.24, 1,857.15 and 507.62 is: 761.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.24 : 1,857.15 = 507.62 : x
  2. Step 2: Convert to fraction form
    1,238.24/1,857.15 = 507.62/x
  3. Step 3: Cross multiply
    1,238.24x = 1,857.15 × 507.62
  4. Step 4: Simplify right side
    1,238.24x = 942,717.20
  5. Step 5: Solve for x
    x = 942,717.20/1,238.24
  6. Step 6: Final answer
    x = 761.34

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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.