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Finding the Fourth Proportional to 881.64, 1,321.02 and 470.34

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Solution

The fourth proportional to 881.64, 1,321.02 and 470.34 is: 704.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.64 : 1,321.02 = 470.34 : x
  2. Step 2: Convert to fraction form
    881.64/1,321.02 = 470.34/x
  3. Step 3: Cross multiply
    881.64x = 1,321.02 × 470.34
  4. Step 4: Simplify right side
    881.64x = 621,328.55
  5. Step 5: Solve for x
    x = 621,328.55/881.64
  6. Step 6: Final answer
    x = 704.74

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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.