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Finding the Fourth Proportional to 754.30, 1,040.61 and 491.86

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Solution

The fourth proportional to 754.30, 1,040.61 and 491.86 is: 678.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.30 : 1,040.61 = 491.86 : x
  2. Step 2: Convert to fraction form
    754.30/1,040.61 = 491.86/x
  3. Step 3: Cross multiply
    754.30x = 1,040.61 × 491.86
  4. Step 4: Simplify right side
    754.30x = 511,834.43
  5. Step 5: Solve for x
    x = 511,834.43/754.30
  6. Step 6: Final answer
    x = 678.56

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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.