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Finding the Fourth Proportional to 829.97, 1,145.19 and 498.27

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Solution

The fourth proportional to 829.97, 1,145.19 and 498.27 is: 687.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.97 : 1,145.19 = 498.27 : x
  2. Step 2: Convert to fraction form
    829.97/1,145.19 = 498.27/x
  3. Step 3: Cross multiply
    829.97x = 1,145.19 × 498.27
  4. Step 4: Simplify right side
    829.97x = 570,613.82
  5. Step 5: Solve for x
    x = 570,613.82/829.97
  6. Step 6: Final answer
    x = 687.52

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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.