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Finding the Fourth Proportional to 803.46, 1,107.50 and 541.02

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Solution

The fourth proportional to 803.46, 1,107.50 and 541.02 is: 745.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.46 : 1,107.50 = 541.02 : x
  2. Step 2: Convert to fraction form
    803.46/1,107.50 = 541.02/x
  3. Step 3: Cross multiply
    803.46x = 1,107.50 × 541.02
  4. Step 4: Simplify right side
    803.46x = 599,179.65
  5. Step 5: Solve for x
    x = 599,179.65/803.46
  6. Step 6: Final answer
    x = 745.75

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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.