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Finding the Fourth Proportional to 1,191.07, 1,787.28 and 541.83

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Solution

The fourth proportional to 1,191.07, 1,787.28 and 541.83 is: 813.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.07 : 1,787.28 = 541.83 : x
  2. Step 2: Convert to fraction form
    1,191.07/1,787.28 = 541.83/x
  3. Step 3: Cross multiply
    1,191.07x = 1,787.28 × 541.83
  4. Step 4: Simplify right side
    1,191.07x = 968,401.92
  5. Step 5: Solve for x
    x = 968,401.92/1,191.07
  6. Step 6: Final answer
    x = 813.05

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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.