Home / 838.03-1,261.48-596.23

Finding the Fourth Proportional to 838.03, 1,261.48 and 596.23

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Solution

The fourth proportional to 838.03, 1,261.48 and 596.23 is: 897.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.03 : 1,261.48 = 596.23 : x
  2. Step 2: Convert to fraction form
    838.03/1,261.48 = 596.23/x
  3. Step 3: Cross multiply
    838.03x = 1,261.48 × 596.23
  4. Step 4: Simplify right side
    838.03x = 752,132.22
  5. Step 5: Solve for x
    x = 752,132.22/838.03
  6. Step 6: Final answer
    x = 897.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.