Home / 1,038.13-1,432.56-596.03

Finding the Fourth Proportional to 1,038.13, 1,432.56 and 596.03

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Solution

The fourth proportional to 1,038.13, 1,432.56 and 596.03 is: 822.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.13 : 1,432.56 = 596.03 : x
  2. Step 2: Convert to fraction form
    1,038.13/1,432.56 = 596.03/x
  3. Step 3: Cross multiply
    1,038.13x = 1,432.56 × 596.03
  4. Step 4: Simplify right side
    1,038.13x = 853,843.81
  5. Step 5: Solve for x
    x = 853,843.81/1,038.13
  6. Step 6: Final answer
    x = 822.48

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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.