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Finding the Fourth Proportional to 1,271.86, 1,907.82 and 406.17

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Solution

The fourth proportional to 1,271.86, 1,907.82 and 406.17 is: 609.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.86 : 1,907.82 = 406.17 : x
  2. Step 2: Convert to fraction form
    1,271.86/1,907.82 = 406.17/x
  3. Step 3: Cross multiply
    1,271.86x = 1,907.82 × 406.17
  4. Step 4: Simplify right side
    1,271.86x = 774,907.93
  5. Step 5: Solve for x
    x = 774,907.93/1,271.86
  6. Step 6: Final answer
    x = 609.27

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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.