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Finding the Fourth Proportional to 776.29, 1,071.26 and 426.98

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Solution

The fourth proportional to 776.29, 1,071.26 and 426.98 is: 589.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.29 : 1,071.26 = 426.98 : x
  2. Step 2: Convert to fraction form
    776.29/1,071.26 = 426.98/x
  3. Step 3: Cross multiply
    776.29x = 1,071.26 × 426.98
  4. Step 4: Simplify right side
    776.29x = 457,406.59
  5. Step 5: Solve for x
    x = 457,406.59/776.29
  6. Step 6: Final answer
    x = 589.22

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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.