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Finding the Fourth Proportional to 882.07, 1,321.78 and 604.07

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Solution

The fourth proportional to 882.07, 1,321.78 and 604.07 is: 905.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.07 : 1,321.78 = 604.07 : x
  2. Step 2: Convert to fraction form
    882.07/1,321.78 = 604.07/x
  3. Step 3: Cross multiply
    882.07x = 1,321.78 × 604.07
  4. Step 4: Simplify right side
    882.07x = 798,447.64
  5. Step 5: Solve for x
    x = 798,447.64/882.07
  6. Step 6: Final answer
    x = 905.20

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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.