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Finding the Fourth Proportional to 882.99, 1,324.38 and 420.66

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Solution

The fourth proportional to 882.99, 1,324.38 and 420.66 is: 630.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.99 : 1,324.38 = 420.66 : x
  2. Step 2: Convert to fraction form
    882.99/1,324.38 = 420.66/x
  3. Step 3: Cross multiply
    882.99x = 1,324.38 × 420.66
  4. Step 4: Simplify right side
    882.99x = 557,113.69
  5. Step 5: Solve for x
    x = 557,113.69/882.99
  6. Step 6: Final answer
    x = 630.94

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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.