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Finding the Fourth Proportional to 857.69, 1,287.33 and 447.12

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Solution

The fourth proportional to 857.69, 1,287.33 and 447.12 is: 671.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.69 : 1,287.33 = 447.12 : x
  2. Step 2: Convert to fraction form
    857.69/1,287.33 = 447.12/x
  3. Step 3: Cross multiply
    857.69x = 1,287.33 × 447.12
  4. Step 4: Simplify right side
    857.69x = 575,590.99
  5. Step 5: Solve for x
    x = 575,590.99/857.69
  6. Step 6: Final answer
    x = 671.10

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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.