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Finding the Fourth Proportional to 517.57, 776.35 and 127.57

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Solution

The fourth proportional to 517.57, 776.35 and 127.57 is: 191.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.57 : 776.35 = 127.57 : x
  2. Step 2: Convert to fraction form
    517.57/776.35 = 127.57/x
  3. Step 3: Cross multiply
    517.57x = 776.35 × 127.57
  4. Step 4: Simplify right side
    517.57x = 99,038.97
  5. Step 5: Solve for x
    x = 99,038.97/517.57
  6. Step 6: Final answer
    x = 191.35

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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.