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Finding the Fourth Proportional to 1,593.02, 2,389.62 and 438.77

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Solution

The fourth proportional to 1,593.02, 2,389.62 and 438.77 is: 658.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.02 : 2,389.62 = 438.77 : x
  2. Step 2: Convert to fraction form
    1,593.02/2,389.62 = 438.77/x
  3. Step 3: Cross multiply
    1,593.02x = 2,389.62 × 438.77
  4. Step 4: Simplify right side
    1,593.02x = 1,048,493.57
  5. Step 5: Solve for x
    x = 1,048,493.57/1,593.02
  6. Step 6: Final answer
    x = 658.18

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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.