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Finding the Fourth Proportional to 1,017.05, 1,524.67 and 845.13

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Solution

The fourth proportional to 1,017.05, 1,524.67 and 845.13 is: 1,266.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.05 : 1,524.67 = 845.13 : x
  2. Step 2: Convert to fraction form
    1,017.05/1,524.67 = 845.13/x
  3. Step 3: Cross multiply
    1,017.05x = 1,524.67 × 845.13
  4. Step 4: Simplify right side
    1,017.05x = 1,288,540.13
  5. Step 5: Solve for x
    x = 1,288,540.13/1,017.05
  6. Step 6: Final answer
    x = 1,266.94

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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.