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Finding the Fourth Proportional to 1,191.49, 1,787.23 and 542.27

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Solution

The fourth proportional to 1,191.49, 1,787.23 and 542.27 is: 813.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.49 : 1,787.23 = 542.27 : x
  2. Step 2: Convert to fraction form
    1,191.49/1,787.23 = 542.27/x
  3. Step 3: Cross multiply
    1,191.49x = 1,787.23 × 542.27
  4. Step 4: Simplify right side
    1,191.49x = 969,161.21
  5. Step 5: Solve for x
    x = 969,161.21/1,191.49
  6. Step 6: Final answer
    x = 813.40

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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.