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Finding the Fourth Proportional to 894.64, 1,234.12 and 832.08

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Solution

The fourth proportional to 894.64, 1,234.12 and 832.08 is: 1,147.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.64 : 1,234.12 = 832.08 : x
  2. Step 2: Convert to fraction form
    894.64/1,234.12 = 832.08/x
  3. Step 3: Cross multiply
    894.64x = 1,234.12 × 832.08
  4. Step 4: Simplify right side
    894.64x = 1,026,886.57
  5. Step 5: Solve for x
    x = 1,026,886.57/894.64
  6. Step 6: Final answer
    x = 1,147.82

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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.