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Finding the Fourth Proportional to 1,213.93, 1,821.20 and 348.24

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Solution

The fourth proportional to 1,213.93, 1,821.20 and 348.24 is: 522.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.93 : 1,821.20 = 348.24 : x
  2. Step 2: Convert to fraction form
    1,213.93/1,821.20 = 348.24/x
  3. Step 3: Cross multiply
    1,213.93x = 1,821.20 × 348.24
  4. Step 4: Simplify right side
    1,213.93x = 634,214.69
  5. Step 5: Solve for x
    x = 634,214.69/1,213.93
  6. Step 6: Final answer
    x = 522.45

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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.