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Finding the Fourth Proportional to 876.24, 1,208.00 and 596.04

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Solution

The fourth proportional to 876.24, 1,208.00 and 596.04 is: 821.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.24 : 1,208.00 = 596.04 : x
  2. Step 2: Convert to fraction form
    876.24/1,208.00 = 596.04/x
  3. Step 3: Cross multiply
    876.24x = 1,208.00 × 596.04
  4. Step 4: Simplify right side
    876.24x = 720,013.34
  5. Step 5: Solve for x
    x = 720,013.34/876.24
  6. Step 6: Final answer
    x = 821.71

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Why These Related Problems?

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