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Finding the Fourth Proportional to 777.16, 1,163.76 and 580.96

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Solution

The fourth proportional to 777.16, 1,163.76 and 580.96 is: 869.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.16 : 1,163.76 = 580.96 : x
  2. Step 2: Convert to fraction form
    777.16/1,163.76 = 580.96/x
  3. Step 3: Cross multiply
    777.16x = 1,163.76 × 580.96
  4. Step 4: Simplify right side
    777.16x = 676,098.01
  5. Step 5: Solve for x
    x = 676,098.01/777.16
  6. Step 6: Final answer
    x = 869.96

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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.