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Finding the Fourth Proportional to 778.69, 1,164.43 and 603.37

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Solution

The fourth proportional to 778.69, 1,164.43 and 603.37 is: 902.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.69 : 1,164.43 = 603.37 : x
  2. Step 2: Convert to fraction form
    778.69/1,164.43 = 603.37/x
  3. Step 3: Cross multiply
    778.69x = 1,164.43 × 603.37
  4. Step 4: Simplify right side
    778.69x = 702,582.13
  5. Step 5: Solve for x
    x = 702,582.13/778.69
  6. Step 6: Final answer
    x = 902.26

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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.