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Finding the Fourth Proportional to 654.76, 980.34 and 518.68

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Solution

The fourth proportional to 654.76, 980.34 and 518.68 is: 776.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.76 : 980.34 = 518.68 : x
  2. Step 2: Convert to fraction form
    654.76/980.34 = 518.68/x
  3. Step 3: Cross multiply
    654.76x = 980.34 × 518.68
  4. Step 4: Simplify right side
    654.76x = 508,482.75
  5. Step 5: Solve for x
    x = 508,482.75/654.76
  6. Step 6: Final answer
    x = 776.59

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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.