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Finding the Fourth Proportional to 1,004.23, 1,386.42 and 668.17

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Solution

The fourth proportional to 1,004.23, 1,386.42 and 668.17 is: 922.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.23 : 1,386.42 = 668.17 : x
  2. Step 2: Convert to fraction form
    1,004.23/1,386.42 = 668.17/x
  3. Step 3: Cross multiply
    1,004.23x = 1,386.42 × 668.17
  4. Step 4: Simplify right side
    1,004.23x = 926,364.25
  5. Step 5: Solve for x
    x = 926,364.25/1,004.23
  6. Step 6: Final answer
    x = 922.46

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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.