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Finding the Fourth Proportional to 855.67, 1,180.04 and 571.59

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Solution

The fourth proportional to 855.67, 1,180.04 and 571.59 is: 788.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.67 : 1,180.04 = 571.59 : x
  2. Step 2: Convert to fraction form
    855.67/1,180.04 = 571.59/x
  3. Step 3: Cross multiply
    855.67x = 1,180.04 × 571.59
  4. Step 4: Simplify right side
    855.67x = 674,499.06
  5. Step 5: Solve for x
    x = 674,499.06/855.67
  6. Step 6: Final answer
    x = 788.27

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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.