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Finding the Fourth Proportional to 797.76, 1,195.36 and 540.48

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Solution

The fourth proportional to 797.76, 1,195.36 and 540.48 is: 809.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.76 : 1,195.36 = 540.48 : x
  2. Step 2: Convert to fraction form
    797.76/1,195.36 = 540.48/x
  3. Step 3: Cross multiply
    797.76x = 1,195.36 × 540.48
  4. Step 4: Simplify right side
    797.76x = 646,068.17
  5. Step 5: Solve for x
    x = 646,068.17/797.76
  6. Step 6: Final answer
    x = 809.85

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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.