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Finding the Fourth Proportional to 759.55, 1,141.46 and 451.46

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Solution

The fourth proportional to 759.55, 1,141.46 and 451.46 is: 678.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.55 : 1,141.46 = 451.46 : x
  2. Step 2: Convert to fraction form
    759.55/1,141.46 = 451.46/x
  3. Step 3: Cross multiply
    759.55x = 1,141.46 × 451.46
  4. Step 4: Simplify right side
    759.55x = 515,324.08
  5. Step 5: Solve for x
    x = 515,324.08/759.55
  6. Step 6: Final answer
    x = 678.46

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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.