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Finding the Fourth Proportional to 1,271.02, 1,906.35 and 405.34

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Solution

The fourth proportional to 1,271.02, 1,906.35 and 405.34 is: 607.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.02 : 1,906.35 = 405.34 : x
  2. Step 2: Convert to fraction form
    1,271.02/1,906.35 = 405.34/x
  3. Step 3: Cross multiply
    1,271.02x = 1,906.35 × 405.34
  4. Step 4: Simplify right side
    1,271.02x = 772,719.91
  5. Step 5: Solve for x
    x = 772,719.91/1,271.02
  6. Step 6: Final answer
    x = 607.95

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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.