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Finding the Fourth Proportional to 750.80, 1,126.34 and 288.52

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Solution

The fourth proportional to 750.80, 1,126.34 and 288.52 is: 432.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.80 : 1,126.34 = 288.52 : x
  2. Step 2: Convert to fraction form
    750.80/1,126.34 = 288.52/x
  3. Step 3: Cross multiply
    750.80x = 1,126.34 × 288.52
  4. Step 4: Simplify right side
    750.80x = 324,971.62
  5. Step 5: Solve for x
    x = 324,971.62/750.80
  6. Step 6: Final answer
    x = 432.83

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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.