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Finding the Fourth Proportional to 876.37, 1,209.89 and 582.04

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Solution

The fourth proportional to 876.37, 1,209.89 and 582.04 is: 803.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.37 : 1,209.89 = 582.04 : x
  2. Step 2: Convert to fraction form
    876.37/1,209.89 = 582.04/x
  3. Step 3: Cross multiply
    876.37x = 1,209.89 × 582.04
  4. Step 4: Simplify right side
    876.37x = 704,204.38
  5. Step 5: Solve for x
    x = 704,204.38/876.37
  6. Step 6: Final answer
    x = 803.55

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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.