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Finding the Fourth Proportional to 685.06, 1,029.66 and 454.74

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Solution

The fourth proportional to 685.06, 1,029.66 and 454.74 is: 683.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.06 : 1,029.66 = 454.74 : x
  2. Step 2: Convert to fraction form
    685.06/1,029.66 = 454.74/x
  3. Step 3: Cross multiply
    685.06x = 1,029.66 × 454.74
  4. Step 4: Simplify right side
    685.06x = 468,227.59
  5. Step 5: Solve for x
    x = 468,227.59/685.06
  6. Step 6: Final answer
    x = 683.48

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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.