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Finding the Fourth Proportional to 771.86, 1,064.84 and 477.02

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Solution

The fourth proportional to 771.86, 1,064.84 and 477.02 is: 658.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.86 : 1,064.84 = 477.02 : x
  2. Step 2: Convert to fraction form
    771.86/1,064.84 = 477.02/x
  3. Step 3: Cross multiply
    771.86x = 1,064.84 × 477.02
  4. Step 4: Simplify right side
    771.86x = 507,949.98
  5. Step 5: Solve for x
    x = 507,949.98/771.86
  6. Step 6: Final answer
    x = 658.09

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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.