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Finding the Fourth Proportional to 1,021.20, 1,409.28 and 628.25

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Solution

The fourth proportional to 1,021.20, 1,409.28 and 628.25 is: 867.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.20 : 1,409.28 = 628.25 : x
  2. Step 2: Convert to fraction form
    1,021.20/1,409.28 = 628.25/x
  3. Step 3: Cross multiply
    1,021.20x = 1,409.28 × 628.25
  4. Step 4: Simplify right side
    1,021.20x = 885,380.16
  5. Step 5: Solve for x
    x = 885,380.16/1,021.20
  6. Step 6: Final answer
    x = 867.00

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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.