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Finding the Fourth Proportional to 829.46, 1,245.64 and 459.12

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Solution

The fourth proportional to 829.46, 1,245.64 and 459.12 is: 689.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.46 : 1,245.64 = 459.12 : x
  2. Step 2: Convert to fraction form
    829.46/1,245.64 = 459.12/x
  3. Step 3: Cross multiply
    829.46x = 1,245.64 × 459.12
  4. Step 4: Simplify right side
    829.46x = 571,898.24
  5. Step 5: Solve for x
    x = 571,898.24/829.46
  6. Step 6: Final answer
    x = 689.48

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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.