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Finding the Fourth Proportional to 967.84, 1,334.82 and 574.48

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Solution

The fourth proportional to 967.84, 1,334.82 and 574.48 is: 792.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.84 : 1,334.82 = 574.48 : x
  2. Step 2: Convert to fraction form
    967.84/1,334.82 = 574.48/x
  3. Step 3: Cross multiply
    967.84x = 1,334.82 × 574.48
  4. Step 4: Simplify right side
    967.84x = 766,827.39
  5. Step 5: Solve for x
    x = 766,827.39/967.84
  6. Step 6: Final answer
    x = 792.31

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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.