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Finding the Fourth Proportional to 727.85, 1,004.00 and 541.15

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Solution

The fourth proportional to 727.85, 1,004.00 and 541.15 is: 746.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.85 : 1,004.00 = 541.15 : x
  2. Step 2: Convert to fraction form
    727.85/1,004.00 = 541.15/x
  3. Step 3: Cross multiply
    727.85x = 1,004.00 × 541.15
  4. Step 4: Simplify right side
    727.85x = 543,309.38
  5. Step 5: Solve for x
    x = 543,309.38/727.85
  6. Step 6: Final answer
    x = 746.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.