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Finding the Fourth Proportional to 662.86, 994.29 and 509.77

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Solution

The fourth proportional to 662.86, 994.29 and 509.77 is: 764.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.86 : 994.29 = 509.77 : x
  2. Step 2: Convert to fraction form
    662.86/994.29 = 509.77/x
  3. Step 3: Cross multiply
    662.86x = 994.29 × 509.77
  4. Step 4: Simplify right side
    662.86x = 506,859.21
  5. Step 5: Solve for x
    x = 506,859.21/662.86
  6. Step 6: Final answer
    x = 764.66

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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.