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Finding the Fourth Proportional to 1,238.31, 1,857.57 and 507.75

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Solution

The fourth proportional to 1,238.31, 1,857.57 and 507.75 is: 761.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.31 : 1,857.57 = 507.75 : x
  2. Step 2: Convert to fraction form
    1,238.31/1,857.57 = 507.75/x
  3. Step 3: Cross multiply
    1,238.31x = 1,857.57 × 507.75
  4. Step 4: Simplify right side
    1,238.31x = 943,181.17
  5. Step 5: Solve for x
    x = 943,181.17/1,238.31
  6. Step 6: Final answer
    x = 761.67

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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.