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Finding the Fourth Proportional to 1,038.44, 1,433.05 and 596.37

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Solution

The fourth proportional to 1,038.44, 1,433.05 and 596.37 is: 822.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.44 : 1,433.05 = 596.37 : x
  2. Step 2: Convert to fraction form
    1,038.44/1,433.05 = 596.37/x
  3. Step 3: Cross multiply
    1,038.44x = 1,433.05 × 596.37
  4. Step 4: Simplify right side
    1,038.44x = 854,625.05
  5. Step 5: Solve for x
    x = 854,625.05/1,038.44
  6. Step 6: Final answer
    x = 822.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.