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Finding the Fourth Proportional to 657.39, 983.65 and 540.75

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Solution

The fourth proportional to 657.39, 983.65 and 540.75 is: 809.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.39 : 983.65 = 540.75 : x
  2. Step 2: Convert to fraction form
    657.39/983.65 = 540.75/x
  3. Step 3: Cross multiply
    657.39x = 983.65 × 540.75
  4. Step 4: Simplify right side
    657.39x = 531,903.70
  5. Step 5: Solve for x
    x = 531,903.70/657.39
  6. Step 6: Final answer
    x = 809.12

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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.