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Finding the Fourth Proportional to 1,583.29, 2,374.80 and 487.90

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Solution

The fourth proportional to 1,583.29, 2,374.80 and 487.90 is: 731.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.29 : 2,374.80 = 487.90 : x
  2. Step 2: Convert to fraction form
    1,583.29/2,374.80 = 487.90/x
  3. Step 3: Cross multiply
    1,583.29x = 2,374.80 × 487.90
  4. Step 4: Simplify right side
    1,583.29x = 1,158,664.92
  5. Step 5: Solve for x
    x = 1,158,664.92/1,583.29
  6. Step 6: Final answer
    x = 731.81

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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.