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Finding the Fourth Proportional to 1,019.25, 1,527.97 and 369.84

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Solution

The fourth proportional to 1,019.25, 1,527.97 and 369.84 is: 554.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.25 : 1,527.97 = 369.84 : x
  2. Step 2: Convert to fraction form
    1,019.25/1,527.97 = 369.84/x
  3. Step 3: Cross multiply
    1,019.25x = 1,527.97 × 369.84
  4. Step 4: Simplify right side
    1,019.25x = 565,104.42
  5. Step 5: Solve for x
    x = 565,104.42/1,019.25
  6. Step 6: Final answer
    x = 554.43

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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.