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Finding the Fourth Proportional to 876.37, 1,209.18 and 596.11

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Solution

The fourth proportional to 876.37, 1,209.18 and 596.11 is: 822.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.37 : 1,209.18 = 596.11 : x
  2. Step 2: Convert to fraction form
    876.37/1,209.18 = 596.11/x
  3. Step 3: Cross multiply
    876.37x = 1,209.18 × 596.11
  4. Step 4: Simplify right side
    876.37x = 720,804.29
  5. Step 5: Solve for x
    x = 720,804.29/876.37
  6. Step 6: Final answer
    x = 822.49

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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.