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Finding the Fourth Proportional to 1,506.30, 2,263.09 and 959.55

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Solution

The fourth proportional to 1,506.30, 2,263.09 and 959.55 is: 1,441.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.30 : 2,263.09 = 959.55 : x
  2. Step 2: Convert to fraction form
    1,506.30/2,263.09 = 959.55/x
  3. Step 3: Cross multiply
    1,506.30x = 2,263.09 × 959.55
  4. Step 4: Simplify right side
    1,506.30x = 2,171,548.01
  5. Step 5: Solve for x
    x = 2,171,548.01/1,506.30
  6. Step 6: Final answer
    x = 1,441.64

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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.