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Finding the Fourth Proportional to 829.66, 1,144.98 and 498.32

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Solution

The fourth proportional to 829.66, 1,144.98 and 498.32 is: 687.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.66 : 1,144.98 = 498.32 : x
  2. Step 2: Convert to fraction form
    829.66/1,144.98 = 498.32/x
  3. Step 3: Cross multiply
    829.66x = 1,144.98 × 498.32
  4. Step 4: Simplify right side
    829.66x = 570,566.43
  5. Step 5: Solve for x
    x = 570,566.43/829.66
  6. Step 6: Final answer
    x = 687.71

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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.