Home / 1,038.44-1,432.96-596.25

Finding the Fourth Proportional to 1,038.44, 1,432.96 and 596.25

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Solution

The fourth proportional to 1,038.44, 1,432.96 and 596.25 is: 822.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.44 : 1,432.96 = 596.25 : x
  2. Step 2: Convert to fraction form
    1,038.44/1,432.96 = 596.25/x
  3. Step 3: Cross multiply
    1,038.44x = 1,432.96 × 596.25
  4. Step 4: Simplify right side
    1,038.44x = 854,392.25
  5. Step 5: Solve for x
    x = 854,392.25/1,038.44
  6. Step 6: Final answer
    x = 822.77

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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.