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Finding the Fourth Proportional to 881.58, 1,322.94 and 470.48

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Solution

The fourth proportional to 881.58, 1,322.94 and 470.48 is: 706.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.58 : 1,322.94 = 470.48 : x
  2. Step 2: Convert to fraction form
    881.58/1,322.94 = 470.48/x
  3. Step 3: Cross multiply
    881.58x = 1,322.94 × 470.48
  4. Step 4: Simplify right side
    881.58x = 622,416.81
  5. Step 5: Solve for x
    x = 622,416.81/881.58
  6. Step 6: Final answer
    x = 706.02

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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.