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Finding the Fourth Proportional to 1,310.98, 1,965.12 and 581.08

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Solution

The fourth proportional to 1,310.98, 1,965.12 and 581.08 is: 871.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.98 : 1,965.12 = 581.08 : x
  2. Step 2: Convert to fraction form
    1,310.98/1,965.12 = 581.08/x
  3. Step 3: Cross multiply
    1,310.98x = 1,965.12 × 581.08
  4. Step 4: Simplify right side
    1,310.98x = 1,141,891.93
  5. Step 5: Solve for x
    x = 1,141,891.93/1,310.98
  6. Step 6: Final answer
    x = 871.02

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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.