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Finding the Fourth Proportional to 829.98, 1,145.21 and 498.42

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Solution

The fourth proportional to 829.98, 1,145.21 and 498.42 is: 687.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.98 : 1,145.21 = 498.42 : x
  2. Step 2: Convert to fraction form
    829.98/1,145.21 = 498.42/x
  3. Step 3: Cross multiply
    829.98x = 1,145.21 × 498.42
  4. Step 4: Simplify right side
    829.98x = 570,793.08
  5. Step 5: Solve for x
    x = 570,793.08/829.98
  6. Step 6: Final answer
    x = 687.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.