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Finding the Fourth Proportional to 685.07, 1,027.89 and 454.04

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Solution

The fourth proportional to 685.07, 1,027.89 and 454.04 is: 681.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.07 : 1,027.89 = 454.04 : x
  2. Step 2: Convert to fraction form
    685.07/1,027.89 = 454.04/x
  3. Step 3: Cross multiply
    685.07x = 1,027.89 × 454.04
  4. Step 4: Simplify right side
    685.07x = 466,698.04
  5. Step 5: Solve for x
    x = 466,698.04/685.07
  6. Step 6: Final answer
    x = 681.25

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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.