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Finding the Fourth Proportional to 1,309.62, 1,964.52 and 615.90

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Solution

The fourth proportional to 1,309.62, 1,964.52 and 615.90 is: 923.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.62 : 1,964.52 = 615.90 : x
  2. Step 2: Convert to fraction form
    1,309.62/1,964.52 = 615.90/x
  3. Step 3: Cross multiply
    1,309.62x = 1,964.52 × 615.90
  4. Step 4: Simplify right side
    1,309.62x = 1,209,947.87
  5. Step 5: Solve for x
    x = 1,209,947.87/1,309.62
  6. Step 6: Final answer
    x = 923.89

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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.