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Finding the Fourth Proportional to 1,213.57, 1,820.35 and 301.57

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Solution

The fourth proportional to 1,213.57, 1,820.35 and 301.57 is: 452.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.57 : 1,820.35 = 301.57 : x
  2. Step 2: Convert to fraction form
    1,213.57/1,820.35 = 301.57/x
  3. Step 3: Cross multiply
    1,213.57x = 1,820.35 × 301.57
  4. Step 4: Simplify right side
    1,213.57x = 548,952.34
  5. Step 5: Solve for x
    x = 548,952.34/1,213.57
  6. Step 6: Final answer
    x = 452.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.