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Finding the Fourth Proportional to 596.70, 822.51 and 503.46

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Solution

The fourth proportional to 596.70, 822.51 and 503.46 is: 693.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.70 : 822.51 = 503.46 : x
  2. Step 2: Convert to fraction form
    596.70/822.51 = 503.46/x
  3. Step 3: Cross multiply
    596.70x = 822.51 × 503.46
  4. Step 4: Simplify right side
    596.70x = 414,100.88
  5. Step 5: Solve for x
    x = 414,100.88/596.70
  6. Step 6: Final answer
    x = 693.99

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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.