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Finding the Fourth Proportional to 1,303.89, 1,955.74 and 481.78

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Solution

The fourth proportional to 1,303.89, 1,955.74 and 481.78 is: 722.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.89 : 1,955.74 = 481.78 : x
  2. Step 2: Convert to fraction form
    1,303.89/1,955.74 = 481.78/x
  3. Step 3: Cross multiply
    1,303.89x = 1,955.74 × 481.78
  4. Step 4: Simplify right side
    1,303.89x = 942,236.42
  5. Step 5: Solve for x
    x = 942,236.42/1,303.89
  6. Step 6: Final answer
    x = 722.63

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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.