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Finding the Fourth Proportional to 882.48, 1,322.70 and 419.60

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Solution

The fourth proportional to 882.48, 1,322.70 and 419.60 is: 628.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.48 : 1,322.70 = 419.60 : x
  2. Step 2: Convert to fraction form
    882.48/1,322.70 = 419.60/x
  3. Step 3: Cross multiply
    882.48x = 1,322.70 × 419.60
  4. Step 4: Simplify right side
    882.48x = 555,004.92
  5. Step 5: Solve for x
    x = 555,004.92/882.48
  6. Step 6: Final answer
    x = 628.92

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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.