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Finding the Fourth Proportional to 851.01, 1,275.80 and 460.79

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Solution

The fourth proportional to 851.01, 1,275.80 and 460.79 is: 690.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.01 : 1,275.80 = 460.79 : x
  2. Step 2: Convert to fraction form
    851.01/1,275.80 = 460.79/x
  3. Step 3: Cross multiply
    851.01x = 1,275.80 × 460.79
  4. Step 4: Simplify right side
    851.01x = 587,867.20
  5. Step 5: Solve for x
    x = 587,867.20/851.01
  6. Step 6: Final answer
    x = 690.79

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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.