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Finding the Fourth Proportional to 882.06, 1,323.30 and 419.70

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Solution

The fourth proportional to 882.06, 1,323.30 and 419.70 is: 629.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.06 : 1,323.30 = 419.70 : x
  2. Step 2: Convert to fraction form
    882.06/1,323.30 = 419.70/x
  3. Step 3: Cross multiply
    882.06x = 1,323.30 × 419.70
  4. Step 4: Simplify right side
    882.06x = 555,388.10
  5. Step 5: Solve for x
    x = 555,388.10/882.06
  6. Step 6: Final answer
    x = 629.65

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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.