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Finding the Fourth Proportional to 1,402.69, 2,104.23 and 428.77

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Solution

The fourth proportional to 1,402.69, 2,104.23 and 428.77 is: 643.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.69 : 2,104.23 = 428.77 : x
  2. Step 2: Convert to fraction form
    1,402.69/2,104.23 = 428.77/x
  3. Step 3: Cross multiply
    1,402.69x = 2,104.23 × 428.77
  4. Step 4: Simplify right side
    1,402.69x = 902,230.70
  5. Step 5: Solve for x
    x = 902,230.70/1,402.69
  6. Step 6: Final answer
    x = 643.21

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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.