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Finding the Fourth Proportional to 876.20, 1,209.86 and 597.02

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Solution

The fourth proportional to 876.20, 1,209.86 and 597.02 is: 824.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.20 : 1,209.86 = 597.02 : x
  2. Step 2: Convert to fraction form
    876.20/1,209.86 = 597.02/x
  3. Step 3: Cross multiply
    876.20x = 1,209.86 × 597.02
  4. Step 4: Simplify right side
    876.20x = 722,310.62
  5. Step 5: Solve for x
    x = 722,310.62/876.20
  6. Step 6: Final answer
    x = 824.37

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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.