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Finding the Fourth Proportional to 714.35, 984.96 and 596.50

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Solution

The fourth proportional to 714.35, 984.96 and 596.50 is: 822.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.35 : 984.96 = 596.50 : x
  2. Step 2: Convert to fraction form
    714.35/984.96 = 596.50/x
  3. Step 3: Cross multiply
    714.35x = 984.96 × 596.50
  4. Step 4: Simplify right side
    714.35x = 587,526.18
  5. Step 5: Solve for x
    x = 587,526.18/714.35
  6. Step 6: Final answer
    x = 822.46

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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.