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Finding the Fourth Proportional to 1,671.78, 2,507.64 and 439.28

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Solution

The fourth proportional to 1,671.78, 2,507.64 and 439.28 is: 658.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.78 : 2,507.64 = 439.28 : x
  2. Step 2: Convert to fraction form
    1,671.78/2,507.64 = 439.28/x
  3. Step 3: Cross multiply
    1,671.78x = 2,507.64 × 439.28
  4. Step 4: Simplify right side
    1,671.78x = 1,101,556.10
  5. Step 5: Solve for x
    x = 1,101,556.10/1,671.78
  6. Step 6: Final answer
    x = 658.91

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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.