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Finding the Fourth Proportional to 718.97, 1,076.36 and 537.12

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Solution

The fourth proportional to 718.97, 1,076.36 and 537.12 is: 804.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.97 : 1,076.36 = 537.12 : x
  2. Step 2: Convert to fraction form
    718.97/1,076.36 = 537.12/x
  3. Step 3: Cross multiply
    718.97x = 1,076.36 × 537.12
  4. Step 4: Simplify right side
    718.97x = 578,131.80
  5. Step 5: Solve for x
    x = 578,131.80/718.97
  6. Step 6: Final answer
    x = 804.12

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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.