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Finding the Fourth Proportional to 1,303.64, 1,955.45 and 481.49

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Solution

The fourth proportional to 1,303.64, 1,955.45 and 481.49 is: 722.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.64 : 1,955.45 = 481.49 : x
  2. Step 2: Convert to fraction form
    1,303.64/1,955.45 = 481.49/x
  3. Step 3: Cross multiply
    1,303.64x = 1,955.45 × 481.49
  4. Step 4: Simplify right side
    1,303.64x = 941,517.44
  5. Step 5: Solve for x
    x = 941,517.44/1,303.64
  6. Step 6: Final answer
    x = 722.22

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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.