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Finding the Fourth Proportional to 771.94, 1,065.48 and 473.28

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Solution

The fourth proportional to 771.94, 1,065.48 and 473.28 is: 653.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.94 : 1,065.48 = 473.28 : x
  2. Step 2: Convert to fraction form
    771.94/1,065.48 = 473.28/x
  3. Step 3: Cross multiply
    771.94x = 1,065.48 × 473.28
  4. Step 4: Simplify right side
    771.94x = 504,270.43
  5. Step 5: Solve for x
    x = 504,270.43/771.94
  6. Step 6: Final answer
    x = 653.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.