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Finding the Fourth Proportional to 879.89, 1,319.64 and 417.24

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Solution

The fourth proportional to 879.89, 1,319.64 and 417.24 is: 625.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.89 : 1,319.64 = 417.24 : x
  2. Step 2: Convert to fraction form
    879.89/1,319.64 = 417.24/x
  3. Step 3: Cross multiply
    879.89x = 1,319.64 × 417.24
  4. Step 4: Simplify right side
    879.89x = 550,606.59
  5. Step 5: Solve for x
    x = 550,606.59/879.89
  6. Step 6: Final answer
    x = 625.77

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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.