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Finding the Fourth Proportional to 1,309.84, 1,965.03 and 617.29

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Solution

The fourth proportional to 1,309.84, 1,965.03 and 617.29 is: 926.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.84 : 1,965.03 = 617.29 : x
  2. Step 2: Convert to fraction form
    1,309.84/1,965.03 = 617.29/x
  3. Step 3: Cross multiply
    1,309.84x = 1,965.03 × 617.29
  4. Step 4: Simplify right side
    1,309.84x = 1,212,993.37
  5. Step 5: Solve for x
    x = 1,212,993.37/1,309.84
  6. Step 6: Final answer
    x = 926.06

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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.