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Finding the Fourth Proportional to 1,271.10, 1,906.95 and 405.42

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Solution

The fourth proportional to 1,271.10, 1,906.95 and 405.42 is: 608.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.10 : 1,906.95 = 405.42 : x
  2. Step 2: Convert to fraction form
    1,271.10/1,906.95 = 405.42/x
  3. Step 3: Cross multiply
    1,271.10x = 1,906.95 × 405.42
  4. Step 4: Simplify right side
    1,271.10x = 773,115.67
  5. Step 5: Solve for x
    x = 773,115.67/1,271.10
  6. Step 6: Final answer
    x = 608.23

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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.