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Finding the Fourth Proportional to 685.63, 1,028.90 and 454.40

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Solution

The fourth proportional to 685.63, 1,028.90 and 454.40 is: 681.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.63 : 1,028.90 = 454.40 : x
  2. Step 2: Convert to fraction form
    685.63/1,028.90 = 454.40/x
  3. Step 3: Cross multiply
    685.63x = 1,028.90 × 454.40
  4. Step 4: Simplify right side
    685.63x = 467,532.16
  5. Step 5: Solve for x
    x = 467,532.16/685.63
  6. Step 6: Final answer
    x = 681.90

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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.