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Finding the Fourth Proportional to 851.24, 1,277.01 and 303.74

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Solution

The fourth proportional to 851.24, 1,277.01 and 303.74 is: 455.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.24 : 1,277.01 = 303.74 : x
  2. Step 2: Convert to fraction form
    851.24/1,277.01 = 303.74/x
  3. Step 3: Cross multiply
    851.24x = 1,277.01 × 303.74
  4. Step 4: Simplify right side
    851.24x = 387,879.02
  5. Step 5: Solve for x
    x = 387,879.02/851.24
  6. Step 6: Final answer
    x = 455.66

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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.