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Finding the Fourth Proportional to 1,271.43, 1,905.84 and 612.34

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Solution

The fourth proportional to 1,271.43, 1,905.84 and 612.34 is: 917.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.43 : 1,905.84 = 612.34 : x
  2. Step 2: Convert to fraction form
    1,271.43/1,905.84 = 612.34/x
  3. Step 3: Cross multiply
    1,271.43x = 1,905.84 × 612.34
  4. Step 4: Simplify right side
    1,271.43x = 1,167,017.30
  5. Step 5: Solve for x
    x = 1,167,017.30/1,271.43
  6. Step 6: Final answer
    x = 917.88

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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.