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Finding the Fourth Proportional to 829.66, 1,241.85 and 463.33

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Solution

The fourth proportional to 829.66, 1,241.85 and 463.33 is: 693.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.66 : 1,241.85 = 463.33 : x
  2. Step 2: Convert to fraction form
    829.66/1,241.85 = 463.33/x
  3. Step 3: Cross multiply
    829.66x = 1,241.85 × 463.33
  4. Step 4: Simplify right side
    829.66x = 575,386.36
  5. Step 5: Solve for x
    x = 575,386.36/829.66
  6. Step 6: Final answer
    x = 693.52

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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.