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Finding the Fourth Proportional to 882.34, 1,323.50 and 471.37

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Solution

The fourth proportional to 882.34, 1,323.50 and 471.37 is: 707.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.34 : 1,323.50 = 471.37 : x
  2. Step 2: Convert to fraction form
    882.34/1,323.50 = 471.37/x
  3. Step 3: Cross multiply
    882.34x = 1,323.50 × 471.37
  4. Step 4: Simplify right side
    882.34x = 623,858.20
  5. Step 5: Solve for x
    x = 623,858.20/882.34
  6. Step 6: Final answer
    x = 707.05

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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.