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Finding the Fourth Proportional to 1,216.55, 1,825.70 and 486.33

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Solution

The fourth proportional to 1,216.55, 1,825.70 and 486.33 is: 729.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.55 : 1,825.70 = 486.33 : x
  2. Step 2: Convert to fraction form
    1,216.55/1,825.70 = 486.33/x
  3. Step 3: Cross multiply
    1,216.55x = 1,825.70 × 486.33
  4. Step 4: Simplify right side
    1,216.55x = 887,882.34
  5. Step 5: Solve for x
    x = 887,882.34/1,216.55
  6. Step 6: Final answer
    x = 729.84

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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.