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Finding the Fourth Proportional to 830.52, 1,245.92 and 464.54

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Solution

The fourth proportional to 830.52, 1,245.92 and 464.54 is: 696.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.52 : 1,245.92 = 464.54 : x
  2. Step 2: Convert to fraction form
    830.52/1,245.92 = 464.54/x
  3. Step 3: Cross multiply
    830.52x = 1,245.92 × 464.54
  4. Step 4: Simplify right side
    830.52x = 578,771.12
  5. Step 5: Solve for x
    x = 578,771.12/830.52
  6. Step 6: Final answer
    x = 696.88

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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.