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Finding the Fourth Proportional to 712.17, 980.64 and 593.91

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Solution

The fourth proportional to 712.17, 980.64 and 593.91 is: 817.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.17 : 980.64 = 593.91 : x
  2. Step 2: Convert to fraction form
    712.17/980.64 = 593.91/x
  3. Step 3: Cross multiply
    712.17x = 980.64 × 593.91
  4. Step 4: Simplify right side
    712.17x = 582,411.90
  5. Step 5: Solve for x
    x = 582,411.90/712.17
  6. Step 6: Final answer
    x = 817.80

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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.