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Finding the Fourth Proportional to 829.94, 1,145.06 and 498.24

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Solution

The fourth proportional to 829.94, 1,145.06 and 498.24 is: 687.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.94 : 1,145.06 = 498.24 : x
  2. Step 2: Convert to fraction form
    829.94/1,145.06 = 498.24/x
  3. Step 3: Cross multiply
    829.94x = 1,145.06 × 498.24
  4. Step 4: Simplify right side
    829.94x = 570,512.20
  5. Step 5: Solve for x
    x = 570,512.20/829.94
  6. Step 6: Final answer
    x = 687.42

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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.