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Finding the Fourth Proportional to 517.80, 776.94 and 509.16

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Solution

The fourth proportional to 517.80, 776.94 and 509.16 is: 763.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.80 : 776.94 = 509.16 : x
  2. Step 2: Convert to fraction form
    517.80/776.94 = 509.16/x
  3. Step 3: Cross multiply
    517.80x = 776.94 × 509.16
  4. Step 4: Simplify right side
    517.80x = 395,586.77
  5. Step 5: Solve for x
    x = 395,586.77/517.80
  6. Step 6: Final answer
    x = 763.98

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Why These Related Problems?

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