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Finding the Fourth Proportional to 829.78, 1,145.22 and 498.26

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Solution

The fourth proportional to 829.78, 1,145.22 and 498.26 is: 687.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.78 : 1,145.22 = 498.26 : x
  2. Step 2: Convert to fraction form
    829.78/1,145.22 = 498.26/x
  3. Step 3: Cross multiply
    829.78x = 1,145.22 × 498.26
  4. Step 4: Simplify right side
    829.78x = 570,617.32
  5. Step 5: Solve for x
    x = 570,617.32/829.78
  6. Step 6: Final answer
    x = 687.67

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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.