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Finding the Fourth Proportional to 888.20, 1,224.53 and 765.18

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Solution

The fourth proportional to 888.20, 1,224.53 and 765.18 is: 1,054.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.20 : 1,224.53 = 765.18 : x
  2. Step 2: Convert to fraction form
    888.20/1,224.53 = 765.18/x
  3. Step 3: Cross multiply
    888.20x = 1,224.53 × 765.18
  4. Step 4: Simplify right side
    888.20x = 936,989.21
  5. Step 5: Solve for x
    x = 936,989.21/888.20
  6. Step 6: Final answer
    x = 1,054.93

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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.