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Finding the Fourth Proportional to 1,271.32, 1,906.64 and 405.42

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Solution

The fourth proportional to 1,271.32, 1,906.64 and 405.42 is: 608.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.32 : 1,906.64 = 405.42 : x
  2. Step 2: Convert to fraction form
    1,271.32/1,906.64 = 405.42/x
  3. Step 3: Cross multiply
    1,271.32x = 1,906.64 × 405.42
  4. Step 4: Simplify right side
    1,271.32x = 772,989.99
  5. Step 5: Solve for x
    x = 772,989.99/1,271.32
  6. Step 6: Final answer
    x = 608.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.