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Finding the Fourth Proportional to 1,309.67, 1,964.84 and 385.25

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Solution

The fourth proportional to 1,309.67, 1,964.84 and 385.25 is: 577.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.67 : 1,964.84 = 385.25 : x
  2. Step 2: Convert to fraction form
    1,309.67/1,964.84 = 385.25/x
  3. Step 3: Cross multiply
    1,309.67x = 1,964.84 × 385.25
  4. Step 4: Simplify right side
    1,309.67x = 756,957.60
  5. Step 5: Solve for x
    x = 756,957.60/1,309.67
  6. Step 6: Final answer
    x = 577.98

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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.