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Finding the Fourth Proportional to 1,271.35, 1,905.72 and 490.87

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Solution

The fourth proportional to 1,271.35, 1,905.72 and 490.87 is: 735.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.35 : 1,905.72 = 490.87 : x
  2. Step 2: Convert to fraction form
    1,271.35/1,905.72 = 490.87/x
  3. Step 3: Cross multiply
    1,271.35x = 1,905.72 × 490.87
  4. Step 4: Simplify right side
    1,271.35x = 935,460.78
  5. Step 5: Solve for x
    x = 935,460.78/1,271.35
  6. Step 6: Final answer
    x = 735.80

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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.