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Finding the Fourth Proportional to 776.55, 1,163.46 and 730.30

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Solution

The fourth proportional to 776.55, 1,163.46 and 730.30 is: 1,094.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.55 : 1,163.46 = 730.30 : x
  2. Step 2: Convert to fraction form
    776.55/1,163.46 = 730.30/x
  3. Step 3: Cross multiply
    776.55x = 1,163.46 × 730.30
  4. Step 4: Simplify right side
    776.55x = 849,674.10
  5. Step 5: Solve for x
    x = 849,674.10/776.55
  6. Step 6: Final answer
    x = 1,094.17

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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.