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Finding the Fourth Proportional to 1,214.01, 1,821.33 and 348.33

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Solution

The fourth proportional to 1,214.01, 1,821.33 and 348.33 is: 522.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.01 : 1,821.33 = 348.33 : x
  2. Step 2: Convert to fraction form
    1,214.01/1,821.33 = 348.33/x
  3. Step 3: Cross multiply
    1,214.01x = 1,821.33 × 348.33
  4. Step 4: Simplify right side
    1,214.01x = 634,423.88
  5. Step 5: Solve for x
    x = 634,423.88/1,214.01
  6. Step 6: Final answer
    x = 522.59

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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.