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Finding the Fourth Proportional to 882.73, 1,215.39 and 749.67

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Solution

The fourth proportional to 882.73, 1,215.39 and 749.67 is: 1,032.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.73 : 1,215.39 = 749.67 : x
  2. Step 2: Convert to fraction form
    882.73/1,215.39 = 749.67/x
  3. Step 3: Cross multiply
    882.73x = 1,215.39 × 749.67
  4. Step 4: Simplify right side
    882.73x = 911,139.67
  5. Step 5: Solve for x
    x = 911,139.67/882.73
  6. Step 6: Final answer
    x = 1,032.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.