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Finding the Fourth Proportional to 1,004.06, 1,505.54 and 310.54

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Solution

The fourth proportional to 1,004.06, 1,505.54 and 310.54 is: 465.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.06 : 1,505.54 = 310.54 : x
  2. Step 2: Convert to fraction form
    1,004.06/1,505.54 = 310.54/x
  3. Step 3: Cross multiply
    1,004.06x = 1,505.54 × 310.54
  4. Step 4: Simplify right side
    1,004.06x = 467,521.31
  5. Step 5: Solve for x
    x = 467,521.31/1,004.06
  6. Step 6: Final answer
    x = 465.63

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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.