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Finding the Fourth Proportional to 882.38, 1,216.50 and 757.50

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Solution

The fourth proportional to 882.38, 1,216.50 and 757.50 is: 1,044.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.38 : 1,216.50 = 757.50 : x
  2. Step 2: Convert to fraction form
    882.38/1,216.50 = 757.50/x
  3. Step 3: Cross multiply
    882.38x = 1,216.50 × 757.50
  4. Step 4: Simplify right side
    882.38x = 921,498.75
  5. Step 5: Solve for x
    x = 921,498.75/882.38
  6. Step 6: Final answer
    x = 1,044.33

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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.