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Finding the Fourth Proportional to 882.94, 1,323.40 and 420.06

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Solution

The fourth proportional to 882.94, 1,323.40 and 420.06 is: 629.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.94 : 1,323.40 = 420.06 : x
  2. Step 2: Convert to fraction form
    882.94/1,323.40 = 420.06/x
  3. Step 3: Cross multiply
    882.94x = 1,323.40 × 420.06
  4. Step 4: Simplify right side
    882.94x = 555,906.35
  5. Step 5: Solve for x
    x = 555,906.35/882.94
  6. Step 6: Final answer
    x = 629.61

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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.