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Finding the Fourth Proportional to 1,004.14, 1,504.08 and 483.38

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Solution

The fourth proportional to 1,004.14, 1,504.08 and 483.38 is: 724.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.14 : 1,504.08 = 483.38 : x
  2. Step 2: Convert to fraction form
    1,004.14/1,504.08 = 483.38/x
  3. Step 3: Cross multiply
    1,004.14x = 1,504.08 × 483.38
  4. Step 4: Simplify right side
    1,004.14x = 727,042.19
  5. Step 5: Solve for x
    x = 727,042.19/1,004.14
  6. Step 6: Final answer
    x = 724.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.