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Finding the Fourth Proportional to 1,312.25, 1,968.48 and 490.33

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Solution

The fourth proportional to 1,312.25, 1,968.48 and 490.33 is: 735.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.25 : 1,968.48 = 490.33 : x
  2. Step 2: Convert to fraction form
    1,312.25/1,968.48 = 490.33/x
  3. Step 3: Cross multiply
    1,312.25x = 1,968.48 × 490.33
  4. Step 4: Simplify right side
    1,312.25x = 965,204.80
  5. Step 5: Solve for x
    x = 965,204.80/1,312.25
  6. Step 6: Final answer
    x = 735.53

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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.