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Finding the Fourth Proportional to 771.85, 1,063.65 and 538.57

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Solution

The fourth proportional to 771.85, 1,063.65 and 538.57 is: 742.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.85 : 1,063.65 = 538.57 : x
  2. Step 2: Convert to fraction form
    771.85/1,063.65 = 538.57/x
  3. Step 3: Cross multiply
    771.85x = 1,063.65 × 538.57
  4. Step 4: Simplify right side
    771.85x = 572,849.98
  5. Step 5: Solve for x
    x = 572,849.98/771.85
  6. Step 6: Final answer
    x = 742.18

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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.