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Finding the Fourth Proportional to 1,214.03, 1,820.49 and 348.14

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Solution

The fourth proportional to 1,214.03, 1,820.49 and 348.14 is: 522.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.03 : 1,820.49 = 348.14 : x
  2. Step 2: Convert to fraction form
    1,214.03/1,820.49 = 348.14/x
  3. Step 3: Cross multiply
    1,214.03x = 1,820.49 × 348.14
  4. Step 4: Simplify right side
    1,214.03x = 633,776.29
  5. Step 5: Solve for x
    x = 633,776.29/1,214.03
  6. Step 6: Final answer
    x = 522.05

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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.