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Finding the Fourth Proportional to 883.34, 1,323.36 and 471.86

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Solution

The fourth proportional to 883.34, 1,323.36 and 471.86 is: 706.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.34 : 1,323.36 = 471.86 : x
  2. Step 2: Convert to fraction form
    883.34/1,323.36 = 471.86/x
  3. Step 3: Cross multiply
    883.34x = 1,323.36 × 471.86
  4. Step 4: Simplify right side
    883.34x = 624,440.65
  5. Step 5: Solve for x
    x = 624,440.65/883.34
  6. Step 6: Final answer
    x = 706.91

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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.