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Finding the Fourth Proportional to 829.70, 1,144.64 and 498.14

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Solution

The fourth proportional to 829.70, 1,144.64 and 498.14 is: 687.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.70 : 1,144.64 = 498.14 : x
  2. Step 2: Convert to fraction form
    829.70/1,144.64 = 498.14/x
  3. Step 3: Cross multiply
    829.70x = 1,144.64 × 498.14
  4. Step 4: Simplify right side
    829.70x = 570,190.97
  5. Step 5: Solve for x
    x = 570,190.97/829.70
  6. Step 6: Final answer
    x = 687.23

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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.