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Finding the Fourth Proportional to 1,271.90, 1,906.43 and 654.74

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Solution

The fourth proportional to 1,271.90, 1,906.43 and 654.74 is: 981.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.90 : 1,906.43 = 654.74 : x
  2. Step 2: Convert to fraction form
    1,271.90/1,906.43 = 654.74/x
  3. Step 3: Cross multiply
    1,271.90x = 1,906.43 × 654.74
  4. Step 4: Simplify right side
    1,271.90x = 1,248,215.98
  5. Step 5: Solve for x
    x = 1,248,215.98/1,271.90
  6. Step 6: Final answer
    x = 981.38

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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.