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Finding the Fourth Proportional to 567.09, 849.02 and 521.73

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Solution

The fourth proportional to 567.09, 849.02 and 521.73 is: 781.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.09 : 849.02 = 521.73 : x
  2. Step 2: Convert to fraction form
    567.09/849.02 = 521.73/x
  3. Step 3: Cross multiply
    567.09x = 849.02 × 521.73
  4. Step 4: Simplify right side
    567.09x = 442,956.60
  5. Step 5: Solve for x
    x = 442,956.60/567.09
  6. Step 6: Final answer
    x = 781.10

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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.