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Finding the Fourth Proportional to 1,199.31, 1,798.20 and 541.05

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Solution

The fourth proportional to 1,199.31, 1,798.20 and 541.05 is: 811.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.31 : 1,798.20 = 541.05 : x
  2. Step 2: Convert to fraction form
    1,199.31/1,798.20 = 541.05/x
  3. Step 3: Cross multiply
    1,199.31x = 1,798.20 × 541.05
  4. Step 4: Simplify right side
    1,199.31x = 972,916.11
  5. Step 5: Solve for x
    x = 972,916.11/1,199.31
  6. Step 6: Final answer
    x = 811.23

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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.