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Finding the Fourth Proportional to 851.07, 1,275.37 and 460.74

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Solution

The fourth proportional to 851.07, 1,275.37 and 460.74 is: 690.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.07 : 1,275.37 = 460.74 : x
  2. Step 2: Convert to fraction form
    851.07/1,275.37 = 460.74/x
  3. Step 3: Cross multiply
    851.07x = 1,275.37 × 460.74
  4. Step 4: Simplify right side
    851.07x = 587,612.82
  5. Step 5: Solve for x
    x = 587,612.82/851.07
  6. Step 6: Final answer
    x = 690.44

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