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Finding the Fourth Proportional to 776.91, 1,072.13 and 427.59

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Solution

The fourth proportional to 776.91, 1,072.13 and 427.59 is: 590.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.91 : 1,072.13 = 427.59 : x
  2. Step 2: Convert to fraction form
    776.91/1,072.13 = 427.59/x
  3. Step 3: Cross multiply
    776.91x = 1,072.13 × 427.59
  4. Step 4: Simplify right side
    776.91x = 458,429.93
  5. Step 5: Solve for x
    x = 458,429.93/776.91
  6. Step 6: Final answer
    x = 590.07

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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.