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Finding the Fourth Proportional to 829.12, 1,242.16 and 462.80

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Solution

The fourth proportional to 829.12, 1,242.16 and 462.80 is: 693.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.12 : 1,242.16 = 462.80 : x
  2. Step 2: Convert to fraction form
    829.12/1,242.16 = 462.80/x
  3. Step 3: Cross multiply
    829.12x = 1,242.16 × 462.80
  4. Step 4: Simplify right side
    829.12x = 574,864.28
  5. Step 5: Solve for x
    x = 574,864.28/829.12
  6. Step 6: Final answer
    x = 693.34

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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.