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Finding the Fourth Proportional to 851.77, 1,273.65 and 607.54

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Solution

The fourth proportional to 851.77, 1,273.65 and 607.54 is: 908.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.77 : 1,273.65 = 607.54 : x
  2. Step 2: Convert to fraction form
    851.77/1,273.65 = 607.54/x
  3. Step 3: Cross multiply
    851.77x = 1,273.65 × 607.54
  4. Step 4: Simplify right side
    851.77x = 773,793.32
  5. Step 5: Solve for x
    x = 773,793.32/851.77
  6. Step 6: Final answer
    x = 908.45

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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.