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Finding the Fourth Proportional to 777.01, 1,072.25 and 427.69

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Solution

The fourth proportional to 777.01, 1,072.25 and 427.69 is: 590.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.01 : 1,072.25 = 427.69 : x
  2. Step 2: Convert to fraction form
    777.01/1,072.25 = 427.69/x
  3. Step 3: Cross multiply
    777.01x = 1,072.25 × 427.69
  4. Step 4: Simplify right side
    777.01x = 458,590.60
  5. Step 5: Solve for x
    x = 458,590.60/777.01
  6. Step 6: Final answer
    x = 590.20

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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.