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Finding the Fourth Proportional to 776.78, 1,164.39 and 430.27

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Solution

The fourth proportional to 776.78, 1,164.39 and 430.27 is: 644.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.78 : 1,164.39 = 430.27 : x
  2. Step 2: Convert to fraction form
    776.78/1,164.39 = 430.27/x
  3. Step 3: Cross multiply
    776.78x = 1,164.39 × 430.27
  4. Step 4: Simplify right side
    776.78x = 500,996.26
  5. Step 5: Solve for x
    x = 500,996.26/776.78
  6. Step 6: Final answer
    x = 644.97

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1.5x scale

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.