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Finding the Fourth Proportional to 771.85, 1,064.05 and 476.92

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Solution

The fourth proportional to 771.85, 1,064.05 and 476.92 is: 657.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.85 : 1,064.05 = 476.92 : x
  2. Step 2: Convert to fraction form
    771.85/1,064.05 = 476.92/x
  3. Step 3: Cross multiply
    771.85x = 1,064.05 × 476.92
  4. Step 4: Simplify right side
    771.85x = 507,466.73
  5. Step 5: Solve for x
    x = 507,466.73/771.85
  6. Step 6: Final answer
    x = 657.47

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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.