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Finding the Fourth Proportional to 829.04, 1,242.14 and 462.92

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Solution

The fourth proportional to 829.04, 1,242.14 and 462.92 is: 693.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.04 : 1,242.14 = 462.92 : x
  2. Step 2: Convert to fraction form
    829.04/1,242.14 = 462.92/x
  3. Step 3: Cross multiply
    829.04x = 1,242.14 × 462.92
  4. Step 4: Simplify right side
    829.04x = 575,002.92
  5. Step 5: Solve for x
    x = 575,002.92/829.04
  6. Step 6: Final answer
    x = 693.58

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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.