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Finding the Fourth Proportional to 771.49, 1,065 and 476.92

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Solution

The fourth proportional to 771.49, 1,065 and 476.92 is: 658.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.49 : 1,065 = 476.92 : x
  2. Step 2: Convert to fraction form
    771.49/1,065 = 476.92/x
  3. Step 3: Cross multiply
    771.49x = 1,065 × 476.92
  4. Step 4: Simplify right side
    771.49x = 507,919.80
  5. Step 5: Solve for x
    x = 507,919.80/771.49
  6. Step 6: Final answer
    x = 658.36

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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.