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Finding the Fourth Proportional to 847.35, 1,169.36 and 599.10

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Solution

The fourth proportional to 847.35, 1,169.36 and 599.10 is: 826.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.35 : 1,169.36 = 599.10 : x
  2. Step 2: Convert to fraction form
    847.35/1,169.36 = 599.10/x
  3. Step 3: Cross multiply
    847.35x = 1,169.36 × 599.10
  4. Step 4: Simplify right side
    847.35x = 700,563.58
  5. Step 5: Solve for x
    x = 700,563.58/847.35
  6. Step 6: Final answer
    x = 826.77

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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.