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Finding the Fourth Proportional to 1,309.37, 1,964.08 and 322.19

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Solution

The fourth proportional to 1,309.37, 1,964.08 and 322.19 is: 483.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.37 : 1,964.08 = 322.19 : x
  2. Step 2: Convert to fraction form
    1,309.37/1,964.08 = 322.19/x
  3. Step 3: Cross multiply
    1,309.37x = 1,964.08 × 322.19
  4. Step 4: Simplify right side
    1,309.37x = 632,811.09
  5. Step 5: Solve for x
    x = 632,811.09/1,309.37
  6. Step 6: Final answer
    x = 483.29

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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.