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Finding the Fourth Proportional to 671.06, 1,005.78 and 454.25

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Solution

The fourth proportional to 671.06, 1,005.78 and 454.25 is: 680.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.06 : 1,005.78 = 454.25 : x
  2. Step 2: Convert to fraction form
    671.06/1,005.78 = 454.25/x
  3. Step 3: Cross multiply
    671.06x = 1,005.78 × 454.25
  4. Step 4: Simplify right side
    671.06x = 456,875.57
  5. Step 5: Solve for x
    x = 456,875.57/671.06
  6. Step 6: Final answer
    x = 680.83

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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.