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Finding the Fourth Proportional to 712.34, 982.16 and 594.48

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Solution

The fourth proportional to 712.34, 982.16 and 594.48 is: 819.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.34 : 982.16 = 594.48 : x
  2. Step 2: Convert to fraction form
    712.34/982.16 = 594.48/x
  3. Step 3: Cross multiply
    712.34x = 982.16 × 594.48
  4. Step 4: Simplify right side
    712.34x = 583,874.48
  5. Step 5: Solve for x
    x = 583,874.48/712.34
  6. Step 6: Final answer
    x = 819.66

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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.