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Finding the Fourth Proportional to 1,309.82, 1,965.04 and 899.16

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Solution

The fourth proportional to 1,309.82, 1,965.04 and 899.16 is: 1,348.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.82 : 1,965.04 = 899.16 : x
  2. Step 2: Convert to fraction form
    1,309.82/1,965.04 = 899.16/x
  3. Step 3: Cross multiply
    1,309.82x = 1,965.04 × 899.16
  4. Step 4: Simplify right side
    1,309.82x = 1,766,885.37
  5. Step 5: Solve for x
    x = 1,766,885.37/1,309.82
  6. Step 6: Final answer
    x = 1,348.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.