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Finding the Fourth Proportional to 829.42, 1,244.73 and 464.92

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Solution

The fourth proportional to 829.42, 1,244.73 and 464.92 is: 697.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.42 : 1,244.73 = 464.92 : x
  2. Step 2: Convert to fraction form
    829.42/1,244.73 = 464.92/x
  3. Step 3: Cross multiply
    829.42x = 1,244.73 × 464.92
  4. Step 4: Simplify right side
    829.42x = 578,693.65
  5. Step 5: Solve for x
    x = 578,693.65/829.42
  6. Step 6: Final answer
    x = 697.71

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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.