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Finding the Fourth Proportional to 851.83, 1,278.15 and 418.75

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Solution

The fourth proportional to 851.83, 1,278.15 and 418.75 is: 628.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.83 : 1,278.15 = 418.75 : x
  2. Step 2: Convert to fraction form
    851.83/1,278.15 = 418.75/x
  3. Step 3: Cross multiply
    851.83x = 1,278.15 × 418.75
  4. Step 4: Simplify right side
    851.83x = 535,225.31
  5. Step 5: Solve for x
    x = 535,225.31/851.83
  6. Step 6: Final answer
    x = 628.32

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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.