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Finding the Fourth Proportional to 1,191.16, 1,786.94 and 541.95

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Solution

The fourth proportional to 1,191.16, 1,786.94 and 541.95 is: 813.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.16 : 1,786.94 = 541.95 : x
  2. Step 2: Convert to fraction form
    1,191.16/1,786.94 = 541.95/x
  3. Step 3: Cross multiply
    1,191.16x = 1,786.94 × 541.95
  4. Step 4: Simplify right side
    1,191.16x = 968,432.13
  5. Step 5: Solve for x
    x = 968,432.13/1,191.16
  6. Step 6: Final answer
    x = 813.02

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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.