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Finding the Fourth Proportional to 751.52, 1,034.80 and 657.73

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Solution

The fourth proportional to 751.52, 1,034.80 and 657.73 is: 905.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.52 : 1,034.80 = 657.73 : x
  2. Step 2: Convert to fraction form
    751.52/1,034.80 = 657.73/x
  3. Step 3: Cross multiply
    751.52x = 1,034.80 × 657.73
  4. Step 4: Simplify right side
    751.52x = 680,619.00
  5. Step 5: Solve for x
    x = 680,619.00/751.52
  6. Step 6: Final answer
    x = 905.66

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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.