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Finding the Fourth Proportional to 879.74, 1,319.07 and 417.23

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Solution

The fourth proportional to 879.74, 1,319.07 and 417.23 is: 625.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.74 : 1,319.07 = 417.23 : x
  2. Step 2: Convert to fraction form
    879.74/1,319.07 = 417.23/x
  3. Step 3: Cross multiply
    879.74x = 1,319.07 × 417.23
  4. Step 4: Simplify right side
    879.74x = 550,355.58
  5. Step 5: Solve for x
    x = 550,355.58/879.74
  6. Step 6: Final answer
    x = 625.59

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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.