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Finding the Fourth Proportional to 1,312.68, 1,967.67 and 490.53

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Solution

The fourth proportional to 1,312.68, 1,967.67 and 490.53 is: 735.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.68 : 1,967.67 = 490.53 : x
  2. Step 2: Convert to fraction form
    1,312.68/1,967.67 = 490.53/x
  3. Step 3: Cross multiply
    1,312.68x = 1,967.67 × 490.53
  4. Step 4: Simplify right side
    1,312.68x = 965,201.17
  5. Step 5: Solve for x
    x = 965,201.17/1,312.68
  6. Step 6: Final answer
    x = 735.29

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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.