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Finding the Fourth Proportional to 879.76, 1,317.12 and 590.68

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Solution

The fourth proportional to 879.76, 1,317.12 and 590.68 is: 884.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.76 : 1,317.12 = 590.68 : x
  2. Step 2: Convert to fraction form
    879.76/1,317.12 = 590.68/x
  3. Step 3: Cross multiply
    879.76x = 1,317.12 × 590.68
  4. Step 4: Simplify right side
    879.76x = 777,996.44
  5. Step 5: Solve for x
    x = 777,996.44/879.76
  6. Step 6: Final answer
    x = 884.33

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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.