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Finding the Fourth Proportional to 898.61, 1,231.99 and 882.20

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Solution

The fourth proportional to 898.61, 1,231.99 and 882.20 is: 1,209.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.61 : 1,231.99 = 882.20 : x
  2. Step 2: Convert to fraction form
    898.61/1,231.99 = 882.20/x
  3. Step 3: Cross multiply
    898.61x = 1,231.99 × 882.20
  4. Step 4: Simplify right side
    898.61x = 1,086,862.45
  5. Step 5: Solve for x
    x = 1,086,862.45/898.61
  6. Step 6: Final answer
    x = 1,209.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.