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Finding the Fourth Proportional to 776.53, 1,163.69 and 430.02

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Solution

The fourth proportional to 776.53, 1,163.69 and 430.02 is: 644.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.53 : 1,163.69 = 430.02 : x
  2. Step 2: Convert to fraction form
    776.53/1,163.69 = 430.02/x
  3. Step 3: Cross multiply
    776.53x = 1,163.69 × 430.02
  4. Step 4: Simplify right side
    776.53x = 500,411.05
  5. Step 5: Solve for x
    x = 500,411.05/776.53
  6. Step 6: Final answer
    x = 644.42

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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.