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Finding the Fourth Proportional to 1,016.21, 1,524.32 and 366.95

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Solution

The fourth proportional to 1,016.21, 1,524.32 and 366.95 is: 550.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.21 : 1,524.32 = 366.95 : x
  2. Step 2: Convert to fraction form
    1,016.21/1,524.32 = 366.95/x
  3. Step 3: Cross multiply
    1,016.21x = 1,524.32 × 366.95
  4. Step 4: Simplify right side
    1,016.21x = 559,339.77
  5. Step 5: Solve for x
    x = 559,339.77/1,016.21
  6. Step 6: Final answer
    x = 550.42

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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.