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Finding the Fourth Proportional to 882.04, 1,321.98 and 471.34

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Solution

The fourth proportional to 882.04, 1,321.98 and 471.34 is: 706.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.04 : 1,321.98 = 471.34 : x
  2. Step 2: Convert to fraction form
    882.04/1,321.98 = 471.34/x
  3. Step 3: Cross multiply
    882.04x = 1,321.98 × 471.34
  4. Step 4: Simplify right side
    882.04x = 623,102.05
  5. Step 5: Solve for x
    x = 623,102.05/882.04
  6. Step 6: Final answer
    x = 706.43

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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.