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Finding the Fourth Proportional to 847.45, 1,168.18 and 585.01

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Solution

The fourth proportional to 847.45, 1,168.18 and 585.01 is: 806.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.45 : 1,168.18 = 585.01 : x
  2. Step 2: Convert to fraction form
    847.45/1,168.18 = 585.01/x
  3. Step 3: Cross multiply
    847.45x = 1,168.18 × 585.01
  4. Step 4: Simplify right side
    847.45x = 683,396.98
  5. Step 5: Solve for x
    x = 683,396.98/847.45
  6. Step 6: Final answer
    x = 806.42

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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.