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Finding the Fourth Proportional to 894.53, 1,237.73 and 778.34

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Solution

The fourth proportional to 894.53, 1,237.73 and 778.34 is: 1,076.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.53 : 1,237.73 = 778.34 : x
  2. Step 2: Convert to fraction form
    894.53/1,237.73 = 778.34/x
  3. Step 3: Cross multiply
    894.53x = 1,237.73 × 778.34
  4. Step 4: Simplify right side
    894.53x = 963,364.69
  5. Step 5: Solve for x
    x = 963,364.69/894.53
  6. Step 6: Final answer
    x = 1,076.96

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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.