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Finding the Fourth Proportional to 776.26, 1,071.16 and 426.94

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Solution

The fourth proportional to 776.26, 1,071.16 and 426.94 is: 589.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.26 : 1,071.16 = 426.94 : x
  2. Step 2: Convert to fraction form
    776.26/1,071.16 = 426.94/x
  3. Step 3: Cross multiply
    776.26x = 1,071.16 × 426.94
  4. Step 4: Simplify right side
    776.26x = 457,321.05
  5. Step 5: Solve for x
    x = 457,321.05/776.26
  6. Step 6: Final answer
    x = 589.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.