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Finding the Fourth Proportional to 882.74, 1,218.14 and 484.41

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Solution

The fourth proportional to 882.74, 1,218.14 and 484.41 is: 668.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.74 : 1,218.14 = 484.41 : x
  2. Step 2: Convert to fraction form
    882.74/1,218.14 = 484.41/x
  3. Step 3: Cross multiply
    882.74x = 1,218.14 × 484.41
  4. Step 4: Simplify right side
    882.74x = 590,071.90
  5. Step 5: Solve for x
    x = 590,071.90/882.74
  6. Step 6: Final answer
    x = 668.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.