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Finding the Fourth Proportional to 566.73, 849.69 and 511.25

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Solution

The fourth proportional to 566.73, 849.69 and 511.25 is: 766.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.73 : 849.69 = 511.25 : x
  2. Step 2: Convert to fraction form
    566.73/849.69 = 511.25/x
  3. Step 3: Cross multiply
    566.73x = 849.69 × 511.25
  4. Step 4: Simplify right side
    566.73x = 434,399.76
  5. Step 5: Solve for x
    x = 434,399.76/566.73
  6. Step 6: Final answer
    x = 766.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.