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Finding the Fourth Proportional to 912.31, 1,256.64 and 851.83

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Solution

The fourth proportional to 912.31, 1,256.64 and 851.83 is: 1,173.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.31 : 1,256.64 = 851.83 : x
  2. Step 2: Convert to fraction form
    912.31/1,256.64 = 851.83/x
  3. Step 3: Cross multiply
    912.31x = 1,256.64 × 851.83
  4. Step 4: Simplify right side
    912.31x = 1,070,443.65
  5. Step 5: Solve for x
    x = 1,070,443.65/912.31
  6. Step 6: Final answer
    x = 1,173.33

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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.