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Finding the Fourth Proportional to 1,016.96, 1,524.08 and 367.07

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Solution

The fourth proportional to 1,016.96, 1,524.08 and 367.07 is: 550.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.96 : 1,524.08 = 367.07 : x
  2. Step 2: Convert to fraction form
    1,016.96/1,524.08 = 367.07/x
  3. Step 3: Cross multiply
    1,016.96x = 1,524.08 × 367.07
  4. Step 4: Simplify right side
    1,016.96x = 559,437.34
  5. Step 5: Solve for x
    x = 559,437.34/1,016.96
  6. Step 6: Final answer
    x = 550.11

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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.