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Finding the Fourth Proportional to 1,402.96, 2,104.08 and 428.80

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Solution

The fourth proportional to 1,402.96, 2,104.08 and 428.80 is: 643.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.96 : 2,104.08 = 428.80 : x
  2. Step 2: Convert to fraction form
    1,402.96/2,104.08 = 428.80/x
  3. Step 3: Cross multiply
    1,402.96x = 2,104.08 × 428.80
  4. Step 4: Simplify right side
    1,402.96x = 902,229.50
  5. Step 5: Solve for x
    x = 902,229.50/1,402.96
  6. Step 6: Final answer
    x = 643.09

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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.