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Finding the Fourth Proportional to 684.80, 943.66 and 487.76

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Solution

The fourth proportional to 684.80, 943.66 and 487.76 is: 672.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.80 : 943.66 = 487.76 : x
  2. Step 2: Convert to fraction form
    684.80/943.66 = 487.76/x
  3. Step 3: Cross multiply
    684.80x = 943.66 × 487.76
  4. Step 4: Simplify right side
    684.80x = 460,279.60
  5. Step 5: Solve for x
    x = 460,279.60/684.80
  6. Step 6: Final answer
    x = 672.14

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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.