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Finding the Fourth Proportional to 882.01, 1,321.66 and 471.21

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Solution

The fourth proportional to 882.01, 1,321.66 and 471.21 is: 706.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.01 : 1,321.66 = 471.21 : x
  2. Step 2: Convert to fraction form
    882.01/1,321.66 = 471.21/x
  3. Step 3: Cross multiply
    882.01x = 1,321.66 × 471.21
  4. Step 4: Simplify right side
    882.01x = 622,779.41
  5. Step 5: Solve for x
    x = 622,779.41/882.01
  6. Step 6: Final answer
    x = 706.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.