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Finding the Fourth Proportional to 1,271.95, 1,906.57 and 541.15

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Solution

The fourth proportional to 1,271.95, 1,906.57 and 541.15 is: 811.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.95 : 1,906.57 = 541.15 : x
  2. Step 2: Convert to fraction form
    1,271.95/1,906.57 = 541.15/x
  3. Step 3: Cross multiply
    1,271.95x = 1,906.57 × 541.15
  4. Step 4: Simplify right side
    1,271.95x = 1,031,740.36
  5. Step 5: Solve for x
    x = 1,031,740.36/1,271.95
  6. Step 6: Final answer
    x = 811.15

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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.