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Finding the Fourth Proportional to 1,238.45, 1,856.27 and 507.62

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Solution

The fourth proportional to 1,238.45, 1,856.27 and 507.62 is: 760.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.45 : 1,856.27 = 507.62 : x
  2. Step 2: Convert to fraction form
    1,238.45/1,856.27 = 507.62/x
  3. Step 3: Cross multiply
    1,238.45x = 1,856.27 × 507.62
  4. Step 4: Simplify right side
    1,238.45x = 942,285.69
  5. Step 5: Solve for x
    x = 942,285.69/1,238.45
  6. Step 6: Final answer
    x = 760.86

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Why These Related Problems?

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