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Finding the Fourth Proportional to 1,003.81, 1,505.88 and 310.33

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Solution

The fourth proportional to 1,003.81, 1,505.88 and 310.33 is: 465.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.81 : 1,505.88 = 310.33 : x
  2. Step 2: Convert to fraction form
    1,003.81/1,505.88 = 310.33/x
  3. Step 3: Cross multiply
    1,003.81x = 1,505.88 × 310.33
  4. Step 4: Simplify right side
    1,003.81x = 467,319.74
  5. Step 5: Solve for x
    x = 467,319.74/1,003.81
  6. Step 6: Final answer
    x = 465.55

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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.