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Finding the Fourth Proportional to 759.65, 1,141.59 and 451.54

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Solution

The fourth proportional to 759.65, 1,141.59 and 451.54 is: 678.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.65 : 1,141.59 = 451.54 : x
  2. Step 2: Convert to fraction form
    759.65/1,141.59 = 451.54/x
  3. Step 3: Cross multiply
    759.65x = 1,141.59 × 451.54
  4. Step 4: Simplify right side
    759.65x = 515,476.67
  5. Step 5: Solve for x
    x = 515,476.67/759.65
  6. Step 6: Final answer
    x = 678.58

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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.