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Finding the Fourth Proportional to 881.63, 1,321.66 and 471.06

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Solution

The fourth proportional to 881.63, 1,321.66 and 471.06 is: 706.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.63 : 1,321.66 = 471.06 : x
  2. Step 2: Convert to fraction form
    881.63/1,321.66 = 471.06/x
  3. Step 3: Cross multiply
    881.63x = 1,321.66 × 471.06
  4. Step 4: Simplify right side
    881.63x = 622,581.16
  5. Step 5: Solve for x
    x = 622,581.16/881.63
  6. Step 6: Final answer
    x = 706.17

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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.