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Finding the Fourth Proportional to 546.93, 757.86 and 540.24

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Solution

The fourth proportional to 546.93, 757.86 and 540.24 is: 748.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.93 : 757.86 = 540.24 : x
  2. Step 2: Convert to fraction form
    546.93/757.86 = 540.24/x
  3. Step 3: Cross multiply
    546.93x = 757.86 × 540.24
  4. Step 4: Simplify right side
    546.93x = 409,426.29
  5. Step 5: Solve for x
    x = 409,426.29/546.93
  6. Step 6: Final answer
    x = 748.59

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.