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Finding the Fourth Proportional to 1,191.42, 1,787.52 and 369.70

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Solution

The fourth proportional to 1,191.42, 1,787.52 and 369.70 is: 554.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.42 : 1,787.52 = 369.70 : x
  2. Step 2: Convert to fraction form
    1,191.42/1,787.52 = 369.70/x
  3. Step 3: Cross multiply
    1,191.42x = 1,787.52 × 369.70
  4. Step 4: Simplify right side
    1,191.42x = 660,846.14
  5. Step 5: Solve for x
    x = 660,846.14/1,191.42
  6. Step 6: Final answer
    x = 554.67

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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.