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Finding the Fourth Proportional to 898.86, 1,232.33 and 882.45

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Solution

The fourth proportional to 898.86, 1,232.33 and 882.45 is: 1,209.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.86 : 1,232.33 = 882.45 : x
  2. Step 2: Convert to fraction form
    898.86/1,232.33 = 882.45/x
  3. Step 3: Cross multiply
    898.86x = 1,232.33 × 882.45
  4. Step 4: Simplify right side
    898.86x = 1,087,472.69
  5. Step 5: Solve for x
    x = 1,087,472.69/898.86
  6. Step 6: Final answer
    x = 1,209.84

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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.