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Finding the Fourth Proportional to 966.84, 1,334.97 and 594.33

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Solution

The fourth proportional to 966.84, 1,334.97 and 594.33 is: 820.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.84 : 1,334.97 = 594.33 : x
  2. Step 2: Convert to fraction form
    966.84/1,334.97 = 594.33/x
  3. Step 3: Cross multiply
    966.84x = 1,334.97 × 594.33
  4. Step 4: Simplify right side
    966.84x = 793,412.72
  5. Step 5: Solve for x
    x = 793,412.72/966.84
  6. Step 6: Final answer
    x = 820.62

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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.