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Finding the Fourth Proportional to 878.34, 1,317.58 and 262.00

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Solution

The fourth proportional to 878.34, 1,317.58 and 262.00 is: 393.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.34 : 1,317.58 = 262.00 : x
  2. Step 2: Convert to fraction form
    878.34/1,317.58 = 262.00/x
  3. Step 3: Cross multiply
    878.34x = 1,317.58 × 262.00
  4. Step 4: Simplify right side
    878.34x = 345,198.06
  5. Step 5: Solve for x
    x = 345,198.06/878.34
  6. Step 6: Final answer
    x = 393.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.