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Finding the Fourth Proportional to 1,402.74, 2,104.14 and 428.82

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Solution

The fourth proportional to 1,402.74, 2,104.14 and 428.82 is: 643.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.74 : 2,104.14 = 428.82 : x
  2. Step 2: Convert to fraction form
    1,402.74/2,104.14 = 428.82/x
  3. Step 3: Cross multiply
    1,402.74x = 2,104.14 × 428.82
  4. Step 4: Simplify right side
    1,402.74x = 902,297.31
  5. Step 5: Solve for x
    x = 902,297.31/1,402.74
  6. Step 6: Final answer
    x = 643.24

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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.