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Finding the Fourth Proportional to 1,017.02, 1,524.86 and 367.67

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Solution

The fourth proportional to 1,017.02, 1,524.86 and 367.67 is: 551.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.02 : 1,524.86 = 367.67 : x
  2. Step 2: Convert to fraction form
    1,017.02/1,524.86 = 367.67/x
  3. Step 3: Cross multiply
    1,017.02x = 1,524.86 × 367.67
  4. Step 4: Simplify right side
    1,017.02x = 560,647.25
  5. Step 5: Solve for x
    x = 560,647.25/1,017.02
  6. Step 6: Final answer
    x = 551.26

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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.