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Finding the Fourth Proportional to 882.19, 1,322.63 and 471.83

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Solution

The fourth proportional to 882.19, 1,322.63 and 471.83 is: 707.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.19 : 1,322.63 = 471.83 : x
  2. Step 2: Convert to fraction form
    882.19/1,322.63 = 471.83/x
  3. Step 3: Cross multiply
    882.19x = 1,322.63 × 471.83
  4. Step 4: Simplify right side
    882.19x = 624,049.31
  5. Step 5: Solve for x
    x = 624,049.31/882.19
  6. Step 6: Final answer
    x = 707.39

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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.