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Finding the Fourth Proportional to 1,589.32, 2,383.29 and 549.13

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Solution

The fourth proportional to 1,589.32, 2,383.29 and 549.13 is: 823.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.32 : 2,383.29 = 549.13 : x
  2. Step 2: Convert to fraction form
    1,589.32/2,383.29 = 549.13/x
  3. Step 3: Cross multiply
    1,589.32x = 2,383.29 × 549.13
  4. Step 4: Simplify right side
    1,589.32x = 1,308,736.04
  5. Step 5: Solve for x
    x = 1,308,736.04/1,589.32
  6. Step 6: Final answer
    x = 823.46

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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.