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Finding the Fourth Proportional to 776.64, 1,164.84 and 504.66

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Solution

The fourth proportional to 776.64, 1,164.84 and 504.66 is: 756.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.64 : 1,164.84 = 504.66 : x
  2. Step 2: Convert to fraction form
    776.64/1,164.84 = 504.66/x
  3. Step 3: Cross multiply
    776.64x = 1,164.84 × 504.66
  4. Step 4: Simplify right side
    776.64x = 587,848.15
  5. Step 5: Solve for x
    x = 587,848.15/776.64
  6. Step 6: Final answer
    x = 756.91

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