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Finding the Fourth Proportional to 776.43, 1,162.89 and 410.31

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Solution

The fourth proportional to 776.43, 1,162.89 and 410.31 is: 614.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.43 : 1,162.89 = 410.31 : x
  2. Step 2: Convert to fraction form
    776.43/1,162.89 = 410.31/x
  3. Step 3: Cross multiply
    776.43x = 1,162.89 × 410.31
  4. Step 4: Simplify right side
    776.43x = 477,145.40
  5. Step 5: Solve for x
    x = 477,145.40/776.43
  6. Step 6: Final answer
    x = 614.54

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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.