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Finding the Fourth Proportional to 1,305.56, 1,958.82 and 612.46

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Solution

The fourth proportional to 1,305.56, 1,958.82 and 612.46 is: 918.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.56 : 1,958.82 = 612.46 : x
  2. Step 2: Convert to fraction form
    1,305.56/1,958.82 = 612.46/x
  3. Step 3: Cross multiply
    1,305.56x = 1,958.82 × 612.46
  4. Step 4: Simplify right side
    1,305.56x = 1,199,689.10
  5. Step 5: Solve for x
    x = 1,199,689.10/1,305.56
  6. Step 6: Final answer
    x = 918.91

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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.