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Finding the Fourth Proportional to 596.79, 893.76 and 509.61

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Solution

The fourth proportional to 596.79, 893.76 and 509.61 is: 763.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.79 : 893.76 = 509.61 : x
  2. Step 2: Convert to fraction form
    596.79/893.76 = 509.61/x
  3. Step 3: Cross multiply
    596.79x = 893.76 × 509.61
  4. Step 4: Simplify right side
    596.79x = 455,469.03
  5. Step 5: Solve for x
    x = 455,469.03/596.79
  6. Step 6: Final answer
    x = 763.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.