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Finding the Fourth Proportional to 685.80, 945.04 and 488.76

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Solution

The fourth proportional to 685.80, 945.04 and 488.76 is: 673.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.80 : 945.04 = 488.76 : x
  2. Step 2: Convert to fraction form
    685.80/945.04 = 488.76/x
  3. Step 3: Cross multiply
    685.80x = 945.04 × 488.76
  4. Step 4: Simplify right side
    685.80x = 461,897.75
  5. Step 5: Solve for x
    x = 461,897.75/685.80
  6. Step 6: Final answer
    x = 673.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.