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Finding the Fourth Proportional to 1,214.07, 1,821.13 and 348.39

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Solution

The fourth proportional to 1,214.07, 1,821.13 and 348.39 is: 522.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.07 : 1,821.13 = 348.39 : x
  2. Step 2: Convert to fraction form
    1,214.07/1,821.13 = 348.39/x
  3. Step 3: Cross multiply
    1,214.07x = 1,821.13 × 348.39
  4. Step 4: Simplify right side
    1,214.07x = 634,452.63
  5. Step 5: Solve for x
    x = 634,452.63/1,214.07
  6. Step 6: Final answer
    x = 522.58

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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.