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Finding the Fourth Proportional to 878.81, 1,206.06 and 795.74

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Solution

The fourth proportional to 878.81, 1,206.06 and 795.74 is: 1,092.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.81 : 1,206.06 = 795.74 : x
  2. Step 2: Convert to fraction form
    878.81/1,206.06 = 795.74/x
  3. Step 3: Cross multiply
    878.81x = 1,206.06 × 795.74
  4. Step 4: Simplify right side
    878.81x = 959,705.65
  5. Step 5: Solve for x
    x = 959,705.65/878.81
  6. Step 6: Final answer
    x = 1,092.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.