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Finding the Fourth Proportional to 1,148.93, 1,723.47 and 327.27

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Solution

The fourth proportional to 1,148.93, 1,723.47 and 327.27 is: 490.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.93 : 1,723.47 = 327.27 : x
  2. Step 2: Convert to fraction form
    1,148.93/1,723.47 = 327.27/x
  3. Step 3: Cross multiply
    1,148.93x = 1,723.47 × 327.27
  4. Step 4: Simplify right side
    1,148.93x = 564,040.03
  5. Step 5: Solve for x
    x = 564,040.03/1,148.93
  6. Step 6: Final answer
    x = 490.93

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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.