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Finding the Fourth Proportional to 1,444.47, 1,993.59 and 948.54

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Solution

The fourth proportional to 1,444.47, 1,993.59 and 948.54 is: 1,309.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.47 : 1,993.59 = 948.54 : x
  2. Step 2: Convert to fraction form
    1,444.47/1,993.59 = 948.54/x
  3. Step 3: Cross multiply
    1,444.47x = 1,993.59 × 948.54
  4. Step 4: Simplify right side
    1,444.47x = 1,890,995.12
  5. Step 5: Solve for x
    x = 1,890,995.12/1,444.47
  6. Step 6: Final answer
    x = 1,309.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.