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Finding the Fourth Proportional to 882.18, 1,323.27 and 709.83

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Solution

The fourth proportional to 882.18, 1,323.27 and 709.83 is: 1,064.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.18 : 1,323.27 = 709.83 : x
  2. Step 2: Convert to fraction form
    882.18/1,323.27 = 709.83/x
  3. Step 3: Cross multiply
    882.18x = 1,323.27 × 709.83
  4. Step 4: Simplify right side
    882.18x = 939,296.74
  5. Step 5: Solve for x
    x = 939,296.74/882.18
  6. Step 6: Final answer
    x = 1,064.75

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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.