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Finding the Fourth Proportional to 1,213.96, 1,820.94 and 392.30

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Solution

The fourth proportional to 1,213.96, 1,820.94 and 392.30 is: 588.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.96 : 1,820.94 = 392.30 : x
  2. Step 2: Convert to fraction form
    1,213.96/1,820.94 = 392.30/x
  3. Step 3: Cross multiply
    1,213.96x = 1,820.94 × 392.30
  4. Step 4: Simplify right side
    1,213.96x = 714,354.76
  5. Step 5: Solve for x
    x = 714,354.76/1,213.96
  6. Step 6: Final answer
    x = 588.45

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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.