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Finding the Fourth Proportional to 1,524.49, 2,103.79 and 825.87

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Solution

The fourth proportional to 1,524.49, 2,103.79 and 825.87 is: 1,139.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.49 : 2,103.79 = 825.87 : x
  2. Step 2: Convert to fraction form
    1,524.49/2,103.79 = 825.87/x
  3. Step 3: Cross multiply
    1,524.49x = 2,103.79 × 825.87
  4. Step 4: Simplify right side
    1,524.49x = 1,737,457.05
  5. Step 5: Solve for x
    x = 1,737,457.05/1,524.49
  6. Step 6: Final answer
    x = 1,139.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.