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Finding the Fourth Proportional to 661.50, 991.17 and 540

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Solution

The fourth proportional to 661.50, 991.17 and 540 is: 809.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.50 : 991.17 = 540 : x
  2. Step 2: Convert to fraction form
    661.50/991.17 = 540/x
  3. Step 3: Cross multiply
    661.50x = 991.17 × 540
  4. Step 4: Simplify right side
    661.50x = 535,231.80
  5. Step 5: Solve for x
    x = 535,231.80/661.50
  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.