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Finding the Fourth Proportional to 771.99, 1,063.08 and 575.16

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Solution

The fourth proportional to 771.99, 1,063.08 and 575.16 is: 792.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.99 : 1,063.08 = 575.16 : x
  2. Step 2: Convert to fraction form
    771.99/1,063.08 = 575.16/x
  3. Step 3: Cross multiply
    771.99x = 1,063.08 × 575.16
  4. Step 4: Simplify right side
    771.99x = 611,441.09
  5. Step 5: Solve for x
    x = 611,441.09/771.99
  6. Step 6: Final answer
    x = 792.03

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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.