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Finding the Fourth Proportional to 1,016.34, 1,524.84 and 367.14

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Solution

The fourth proportional to 1,016.34, 1,524.84 and 367.14 is: 550.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.34 : 1,524.84 = 367.14 : x
  2. Step 2: Convert to fraction form
    1,016.34/1,524.84 = 367.14/x
  3. Step 3: Cross multiply
    1,016.34x = 1,524.84 × 367.14
  4. Step 4: Simplify right side
    1,016.34x = 559,829.76
  5. Step 5: Solve for x
    x = 559,829.76/1,016.34
  6. Step 6: Final answer
    x = 550.83

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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.