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Finding the Fourth Proportional to 1,312.35, 1,967.31 and 662.33

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Solution

The fourth proportional to 1,312.35, 1,967.31 and 662.33 is: 992.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.35 : 1,967.31 = 662.33 : x
  2. Step 2: Convert to fraction form
    1,312.35/1,967.31 = 662.33/x
  3. Step 3: Cross multiply
    1,312.35x = 1,967.31 × 662.33
  4. Step 4: Simplify right side
    1,312.35x = 1,303,008.43
  5. Step 5: Solve for x
    x = 1,303,008.43/1,312.35
  6. Step 6: Final answer
    x = 992.88

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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.