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Finding the Fourth Proportional to 1,004.36, 1,506.00 and 310.73

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Solution

The fourth proportional to 1,004.36, 1,506.00 and 310.73 is: 465.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.36 : 1,506.00 = 310.73 : x
  2. Step 2: Convert to fraction form
    1,004.36/1,506.00 = 310.73/x
  3. Step 3: Cross multiply
    1,004.36x = 1,506.00 × 310.73
  4. Step 4: Simplify right side
    1,004.36x = 467,950.30
  5. Step 5: Solve for x
    x = 467,950.30/1,004.36
  6. Step 6: Final answer
    x = 465.92

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Why These Related Problems?

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