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Finding the Fourth Proportional to 894.69, 1,235.34 and 646.56

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Solution

The fourth proportional to 894.69, 1,235.34 and 646.56 is: 892.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.69 : 1,235.34 = 646.56 : x
  2. Step 2: Convert to fraction form
    894.69/1,235.34 = 646.56/x
  3. Step 3: Cross multiply
    894.69x = 1,235.34 × 646.56
  4. Step 4: Simplify right side
    894.69x = 798,721.43
  5. Step 5: Solve for x
    x = 798,721.43/894.69
  6. Step 6: Final answer
    x = 892.74

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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.