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Finding the Fourth Proportional to 829.30, 1,242.92 and 464.34

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Solution

The fourth proportional to 829.30, 1,242.92 and 464.34 is: 695.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.30 : 1,242.92 = 464.34 : x
  2. Step 2: Convert to fraction form
    829.30/1,242.92 = 464.34/x
  3. Step 3: Cross multiply
    829.30x = 1,242.92 × 464.34
  4. Step 4: Simplify right side
    829.30x = 577,137.47
  5. Step 5: Solve for x
    x = 577,137.47/829.30
  6. Step 6: Final answer
    x = 695.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.