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Finding the Fourth Proportional to 736.65, 1,015.34 and 596.25

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Solution

The fourth proportional to 736.65, 1,015.34 and 596.25 is: 821.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.65 : 1,015.34 = 596.25 : x
  2. Step 2: Convert to fraction form
    736.65/1,015.34 = 596.25/x
  3. Step 3: Cross multiply
    736.65x = 1,015.34 × 596.25
  4. Step 4: Simplify right side
    736.65x = 605,393.49
  5. Step 5: Solve for x
    x = 605,393.49/736.65
  6. Step 6: Final answer
    x = 821.82

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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.