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Finding the Fourth Proportional to 1,348.21, 2,021.92 and 526.30

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Solution

The fourth proportional to 1,348.21, 2,021.92 and 526.30 is: 789.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.21 : 2,021.92 = 526.30 : x
  2. Step 2: Convert to fraction form
    1,348.21/2,021.92 = 526.30/x
  3. Step 3: Cross multiply
    1,348.21x = 2,021.92 × 526.30
  4. Step 4: Simplify right side
    1,348.21x = 1,064,136.50
  5. Step 5: Solve for x
    x = 1,064,136.50/1,348.21
  6. Step 6: Final answer
    x = 789.30

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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.