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Finding the Fourth Proportional to 876.56, 1,209.44 and 596.48

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Solution

The fourth proportional to 876.56, 1,209.44 and 596.48 is: 823.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.56 : 1,209.44 = 596.48 : x
  2. Step 2: Convert to fraction form
    876.56/1,209.44 = 596.48/x
  3. Step 3: Cross multiply
    876.56x = 1,209.44 × 596.48
  4. Step 4: Simplify right side
    876.56x = 721,406.77
  5. Step 5: Solve for x
    x = 721,406.77/876.56
  6. Step 6: Final answer
    x = 823.00

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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.