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Finding the Fourth Proportional to 882.04, 1,322.55 and 442.41

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Solution

The fourth proportional to 882.04, 1,322.55 and 442.41 is: 663.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.04 : 1,322.55 = 442.41 : x
  2. Step 2: Convert to fraction form
    882.04/1,322.55 = 442.41/x
  3. Step 3: Cross multiply
    882.04x = 1,322.55 × 442.41
  4. Step 4: Simplify right side
    882.04x = 585,109.35
  5. Step 5: Solve for x
    x = 585,109.35/882.04
  6. Step 6: Final answer
    x = 663.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.