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Finding the Fourth Proportional to 777.69, 1,164.70 and 614.28

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Solution

The fourth proportional to 777.69, 1,164.70 and 614.28 is: 919.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.69 : 1,164.70 = 614.28 : x
  2. Step 2: Convert to fraction form
    777.69/1,164.70 = 614.28/x
  3. Step 3: Cross multiply
    777.69x = 1,164.70 × 614.28
  4. Step 4: Simplify right side
    777.69x = 715,451.92
  5. Step 5: Solve for x
    x = 715,451.92/777.69
  6. Step 6: Final answer
    x = 919.97

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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.