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Finding the Fourth Proportional to 875.96, 1,209.86 and 582.60

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Solution

The fourth proportional to 875.96, 1,209.86 and 582.60 is: 804.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.96 : 1,209.86 = 582.60 : x
  2. Step 2: Convert to fraction form
    875.96/1,209.86 = 582.60/x
  3. Step 3: Cross multiply
    875.96x = 1,209.86 × 582.60
  4. Step 4: Simplify right side
    875.96x = 704,864.44
  5. Step 5: Solve for x
    x = 704,864.44/875.96
  6. Step 6: Final answer
    x = 804.68

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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.