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Finding the Fourth Proportional to 669.89, 1,002.75 and 571.47

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Solution

The fourth proportional to 669.89, 1,002.75 and 571.47 is: 855.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.89 : 1,002.75 = 571.47 : x
  2. Step 2: Convert to fraction form
    669.89/1,002.75 = 571.47/x
  3. Step 3: Cross multiply
    669.89x = 1,002.75 × 571.47
  4. Step 4: Simplify right side
    669.89x = 573,041.54
  5. Step 5: Solve for x
    x = 573,041.54/669.89
  6. Step 6: Final answer
    x = 855.43

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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.