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Finding the Fourth Proportional to 878.55, 1,209.93 and 859.42

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Solution

The fourth proportional to 878.55, 1,209.93 and 859.42 is: 1,183.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.55 : 1,209.93 = 859.42 : x
  2. Step 2: Convert to fraction form
    878.55/1,209.93 = 859.42/x
  3. Step 3: Cross multiply
    878.55x = 1,209.93 × 859.42
  4. Step 4: Simplify right side
    878.55x = 1,039,834.14
  5. Step 5: Solve for x
    x = 1,039,834.14/878.55
  6. Step 6: Final answer
    x = 1,183.58

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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.