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Finding the Fourth Proportional to 851.90, 1,277.54 and 832.46

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Solution

The fourth proportional to 851.90, 1,277.54 and 832.46 is: 1,248.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.90 : 1,277.54 = 832.46 : x
  2. Step 2: Convert to fraction form
    851.90/1,277.54 = 832.46/x
  3. Step 3: Cross multiply
    851.90x = 1,277.54 × 832.46
  4. Step 4: Simplify right side
    851.90x = 1,063,500.95
  5. Step 5: Solve for x
    x = 1,063,500.95/851.90
  6. Step 6: Final answer
    x = 1,248.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.