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Finding the Fourth Proportional to 1,271.88, 1,907.86 and 406.12

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Solution

The fourth proportional to 1,271.88, 1,907.86 and 406.12 is: 609.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.88 : 1,907.86 = 406.12 : x
  2. Step 2: Convert to fraction form
    1,271.88/1,907.86 = 406.12/x
  3. Step 3: Cross multiply
    1,271.88x = 1,907.86 × 406.12
  4. Step 4: Simplify right side
    1,271.88x = 774,820.10
  5. Step 5: Solve for x
    x = 774,820.10/1,271.88
  6. Step 6: Final answer
    x = 609.19

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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.