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Finding the Fourth Proportional to 1,214.22, 1,821.24 and 348.42

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Solution

The fourth proportional to 1,214.22, 1,821.24 and 348.42 is: 522.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.22 : 1,821.24 = 348.42 : x
  2. Step 2: Convert to fraction form
    1,214.22/1,821.24 = 348.42/x
  3. Step 3: Cross multiply
    1,214.22x = 1,821.24 × 348.42
  4. Step 4: Simplify right side
    1,214.22x = 634,556.44
  5. Step 5: Solve for x
    x = 634,556.44/1,214.22
  6. Step 6: Final answer
    x = 522.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.