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Finding the Fourth Proportional to 851.52, 1,277.64 and 466.32

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Solution

The fourth proportional to 851.52, 1,277.64 and 466.32 is: 699.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.52 : 1,277.64 = 466.32 : x
  2. Step 2: Convert to fraction form
    851.52/1,277.64 = 466.32/x
  3. Step 3: Cross multiply
    851.52x = 1,277.64 × 466.32
  4. Step 4: Simplify right side
    851.52x = 595,789.08
  5. Step 5: Solve for x
    x = 595,789.08/851.52
  6. Step 6: Final answer
    x = 699.68

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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.