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Finding the Fourth Proportional to 851, 1,276.86 and 460.54

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Solution

The fourth proportional to 851, 1,276.86 and 460.54 is: 691.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    851 : 1,276.86 = 460.54 : x
  2. Step 2: Convert to fraction form
    851/1,276.86 = 460.54/x
  3. Step 3: Cross multiply
    851x = 1,276.86 × 460.54
  4. Step 4: Simplify right side
    851x = 588,045.10
  5. Step 5: Solve for x
    x = 588,045.10/851
  6. Step 6: Final answer
    x = 691.00

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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.