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Finding the Fourth Proportional to 1,689.41, 2,532.96 and 593.63

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Solution

The fourth proportional to 1,689.41, 2,532.96 and 593.63 is: 890.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.41 : 2,532.96 = 593.63 : x
  2. Step 2: Convert to fraction form
    1,689.41/2,532.96 = 593.63/x
  3. Step 3: Cross multiply
    1,689.41x = 2,532.96 × 593.63
  4. Step 4: Simplify right side
    1,689.41x = 1,503,628.38
  5. Step 5: Solve for x
    x = 1,503,628.38/1,689.41
  6. Step 6: Final answer
    x = 890.03

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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.