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Finding the Fourth Proportional to 882.48, 1,321.83 and 766.38

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Solution

The fourth proportional to 882.48, 1,321.83 and 766.38 is: 1,147.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.48 : 1,321.83 = 766.38 : x
  2. Step 2: Convert to fraction form
    882.48/1,321.83 = 766.38/x
  3. Step 3: Cross multiply
    882.48x = 1,321.83 × 766.38
  4. Step 4: Simplify right side
    882.48x = 1,013,024.08
  5. Step 5: Solve for x
    x = 1,013,024.08/882.48
  6. Step 6: Final answer
    x = 1,147.93

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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.