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Finding the Fourth Proportional to 777.34, 1,163.10 and 463.84

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Solution

The fourth proportional to 777.34, 1,163.10 and 463.84 is: 694.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.34 : 1,163.10 = 463.84 : x
  2. Step 2: Convert to fraction form
    777.34/1,163.10 = 463.84/x
  3. Step 3: Cross multiply
    777.34x = 1,163.10 × 463.84
  4. Step 4: Simplify right side
    777.34x = 539,495.07
  5. Step 5: Solve for x
    x = 539,495.07/777.34
  6. Step 6: Final answer
    x = 694.03

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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.