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Finding the Fourth Proportional to 1,100.48, 1,518.65 and 596.33

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Solution

The fourth proportional to 1,100.48, 1,518.65 and 596.33 is: 822.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.48 : 1,518.65 = 596.33 : x
  2. Step 2: Convert to fraction form
    1,100.48/1,518.65 = 596.33/x
  3. Step 3: Cross multiply
    1,100.48x = 1,518.65 × 596.33
  4. Step 4: Simplify right side
    1,100.48x = 905,610.45
  5. Step 5: Solve for x
    x = 905,610.45/1,100.48
  6. Step 6: Final answer
    x = 822.92

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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.