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Finding the Fourth Proportional to 1,312.20, 1,967.39 and 490.26

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Solution

The fourth proportional to 1,312.20, 1,967.39 and 490.26 is: 735.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.20 : 1,967.39 = 490.26 : x
  2. Step 2: Convert to fraction form
    1,312.20/1,967.39 = 490.26/x
  3. Step 3: Cross multiply
    1,312.20x = 1,967.39 × 490.26
  4. Step 4: Simplify right side
    1,312.20x = 964,532.62
  5. Step 5: Solve for x
    x = 964,532.62/1,312.20
  6. Step 6: Final answer
    x = 735.05

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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.