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Finding the Fourth Proportional to 1,004.02, 1,386.34 and 668.24

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Solution

The fourth proportional to 1,004.02, 1,386.34 and 668.24 is: 922.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.02 : 1,386.34 = 668.24 : x
  2. Step 2: Convert to fraction form
    1,004.02/1,386.34 = 668.24/x
  3. Step 3: Cross multiply
    1,004.02x = 1,386.34 × 668.24
  4. Step 4: Simplify right side
    1,004.02x = 926,406.17
  5. Step 5: Solve for x
    x = 926,406.17/1,004.02
  6. Step 6: Final answer
    x = 922.70

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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.