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Finding the Fourth Proportional to 1,589.98, 2,383.71 and 723.28

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Solution

The fourth proportional to 1,589.98, 2,383.71 and 723.28 is: 1,084.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.98 : 2,383.71 = 723.28 : x
  2. Step 2: Convert to fraction form
    1,589.98/2,383.71 = 723.28/x
  3. Step 3: Cross multiply
    1,589.98x = 2,383.71 × 723.28
  4. Step 4: Simplify right side
    1,589.98x = 1,724,089.77
  5. Step 5: Solve for x
    x = 1,724,089.77/1,589.98
  6. Step 6: Final answer
    x = 1,084.35

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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.