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Finding the Fourth Proportional to 1,213.32, 1,819.98 and 971.37

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Solution

The fourth proportional to 1,213.32, 1,819.98 and 971.37 is: 1,457.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.32 : 1,819.98 = 971.37 : x
  2. Step 2: Convert to fraction form
    1,213.32/1,819.98 = 971.37/x
  3. Step 3: Cross multiply
    1,213.32x = 1,819.98 × 971.37
  4. Step 4: Simplify right side
    1,213.32x = 1,767,873.97
  5. Step 5: Solve for x
    x = 1,767,873.97/1,213.32
  6. Step 6: Final answer
    x = 1,457.06

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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.