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Finding the Fourth Proportional to 742.03, 1,021.62 and 643.21

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Solution

The fourth proportional to 742.03, 1,021.62 and 643.21 is: 885.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.03 : 1,021.62 = 643.21 : x
  2. Step 2: Convert to fraction form
    742.03/1,021.62 = 643.21/x
  3. Step 3: Cross multiply
    742.03x = 1,021.62 × 643.21
  4. Step 4: Simplify right side
    742.03x = 657,116.20
  5. Step 5: Solve for x
    x = 657,116.20/742.03
  6. Step 6: Final answer
    x = 885.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.