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Finding the Fourth Proportional to 882.02, 1,323.07 and 419.38

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Solution

The fourth proportional to 882.02, 1,323.07 and 419.38 is: 629.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.02 : 1,323.07 = 419.38 : x
  2. Step 2: Convert to fraction form
    882.02/1,323.07 = 419.38/x
  3. Step 3: Cross multiply
    882.02x = 1,323.07 × 419.38
  4. Step 4: Simplify right side
    882.02x = 554,864.74
  5. Step 5: Solve for x
    x = 554,864.74/882.02
  6. Step 6: Final answer
    x = 629.08

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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.