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Finding the Fourth Proportional to 1,312.27, 1,968.44 and 387.72

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Solution

The fourth proportional to 1,312.27, 1,968.44 and 387.72 is: 581.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.27 : 1,968.44 = 387.72 : x
  2. Step 2: Convert to fraction form
    1,312.27/1,968.44 = 387.72/x
  3. Step 3: Cross multiply
    1,312.27x = 1,968.44 × 387.72
  4. Step 4: Simplify right side
    1,312.27x = 763,201.62
  5. Step 5: Solve for x
    x = 763,201.62/1,312.27
  6. Step 6: Final answer
    x = 581.59

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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.