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Finding the Fourth Proportional to 881.70, 1,323.22 and 470.94

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Solution

The fourth proportional to 881.70, 1,323.22 and 470.94 is: 706.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.70 : 1,323.22 = 470.94 : x
  2. Step 2: Convert to fraction form
    881.70/1,323.22 = 470.94/x
  3. Step 3: Cross multiply
    881.70x = 1,323.22 × 470.94
  4. Step 4: Simplify right side
    881.70x = 623,157.23
  5. Step 5: Solve for x
    x = 623,157.23/881.70
  6. Step 6: Final answer
    x = 706.77

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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.