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Finding the Fourth Proportional to 1,021.04, 1,408.30 and 628.28

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Solution

The fourth proportional to 1,021.04, 1,408.30 and 628.28 is: 866.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.04 : 1,408.30 = 628.28 : x
  2. Step 2: Convert to fraction form
    1,021.04/1,408.30 = 628.28/x
  3. Step 3: Cross multiply
    1,021.04x = 1,408.30 × 628.28
  4. Step 4: Simplify right side
    1,021.04x = 884,806.72
  5. Step 5: Solve for x
    x = 884,806.72/1,021.04
  6. Step 6: Final answer
    x = 866.57

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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.