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Finding the Fourth Proportional to 1,238.76, 1,856.76 and 588.12

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Solution

The fourth proportional to 1,238.76, 1,856.76 and 588.12 is: 881.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.76 : 1,856.76 = 588.12 : x
  2. Step 2: Convert to fraction form
    1,238.76/1,856.76 = 588.12/x
  3. Step 3: Cross multiply
    1,238.76x = 1,856.76 × 588.12
  4. Step 4: Simplify right side
    1,238.76x = 1,091,997.69
  5. Step 5: Solve for x
    x = 1,091,997.69/1,238.76
  6. Step 6: Final answer
    x = 881.52

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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.