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Finding the Fourth Proportional to 776.76, 1,071.14 and 496.50

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Solution

The fourth proportional to 776.76, 1,071.14 and 496.50 is: 684.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.76 : 1,071.14 = 496.50 : x
  2. Step 2: Convert to fraction form
    776.76/1,071.14 = 496.50/x
  3. Step 3: Cross multiply
    776.76x = 1,071.14 × 496.50
  4. Step 4: Simplify right side
    776.76x = 531,821.01
  5. Step 5: Solve for x
    x = 531,821.01/776.76
  6. Step 6: Final answer
    x = 684.67

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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.