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Finding the Fourth Proportional to 776.16, 1,071.08 and 426.80

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Solution

The fourth proportional to 776.16, 1,071.08 and 426.80 is: 588.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.16 : 1,071.08 = 426.80 : x
  2. Step 2: Convert to fraction form
    776.16/1,071.08 = 426.80/x
  3. Step 3: Cross multiply
    776.16x = 1,071.08 × 426.80
  4. Step 4: Simplify right side
    776.16x = 457,136.94
  5. Step 5: Solve for x
    x = 457,136.94/776.16
  6. Step 6: Final answer
    x = 588.97

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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.