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Finding the Fourth Proportional to 824.49, 1,235.58 and 733.01

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Solution

The fourth proportional to 824.49, 1,235.58 and 733.01 is: 1,098.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.49 : 1,235.58 = 733.01 : x
  2. Step 2: Convert to fraction form
    824.49/1,235.58 = 733.01/x
  3. Step 3: Cross multiply
    824.49x = 1,235.58 × 733.01
  4. Step 4: Simplify right side
    824.49x = 905,692.50
  5. Step 5: Solve for x
    x = 905,692.50/824.49
  6. Step 6: Final answer
    x = 1,098.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.