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Finding the Fourth Proportional to 1,303.37, 1,953.93 and 481.22

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Solution

The fourth proportional to 1,303.37, 1,953.93 and 481.22 is: 721.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.37 : 1,953.93 = 481.22 : x
  2. Step 2: Convert to fraction form
    1,303.37/1,953.93 = 481.22/x
  3. Step 3: Cross multiply
    1,303.37x = 1,953.93 × 481.22
  4. Step 4: Simplify right side
    1,303.37x = 940,270.19
  5. Step 5: Solve for x
    x = 940,270.19/1,303.37
  6. Step 6: Final answer
    x = 721.41

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