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Finding the Fourth Proportional to 847.01, 1,169.69 and 659.90

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Solution

The fourth proportional to 847.01, 1,169.69 and 659.90 is: 911.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.01 : 1,169.69 = 659.90 : x
  2. Step 2: Convert to fraction form
    847.01/1,169.69 = 659.90/x
  3. Step 3: Cross multiply
    847.01x = 1,169.69 × 659.90
  4. Step 4: Simplify right side
    847.01x = 771,878.43
  5. Step 5: Solve for x
    x = 771,878.43/847.01
  6. Step 6: Final answer
    x = 911.30

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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.