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Finding the Fourth Proportional to 1,402.65, 2,104.29 and 428.82

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Solution

The fourth proportional to 1,402.65, 2,104.29 and 428.82 is: 643.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.65 : 2,104.29 = 428.82 : x
  2. Step 2: Convert to fraction form
    1,402.65/2,104.29 = 428.82/x
  3. Step 3: Cross multiply
    1,402.65x = 2,104.29 × 428.82
  4. Step 4: Simplify right side
    1,402.65x = 902,361.64
  5. Step 5: Solve for x
    x = 902,361.64/1,402.65
  6. Step 6: Final answer
    x = 643.33

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