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Finding the Fourth Proportional to 1,506.22, 2,259.30 and 639.94

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Solution

The fourth proportional to 1,506.22, 2,259.30 and 639.94 is: 959.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.22 : 2,259.30 = 639.94 : x
  2. Step 2: Convert to fraction form
    1,506.22/2,259.30 = 639.94/x
  3. Step 3: Cross multiply
    1,506.22x = 2,259.30 × 639.94
  4. Step 4: Simplify right side
    1,506.22x = 1,445,816.44
  5. Step 5: Solve for x
    x = 1,445,816.44/1,506.22
  6. Step 6: Final answer
    x = 959.90

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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.