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Finding the Fourth Proportional to 1,312.74, 1,968.72 and 388.12

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Solution

The fourth proportional to 1,312.74, 1,968.72 and 388.12 is: 582.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.74 : 1,968.72 = 388.12 : x
  2. Step 2: Convert to fraction form
    1,312.74/1,968.72 = 388.12/x
  3. Step 3: Cross multiply
    1,312.74x = 1,968.72 × 388.12
  4. Step 4: Simplify right side
    1,312.74x = 764,099.61
  5. Step 5: Solve for x
    x = 764,099.61/1,312.74
  6. Step 6: Final answer
    x = 582.06

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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.