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Finding the Fourth Proportional to 1,107.72, 1,659.80 and 847.40

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Solution

The fourth proportional to 1,107.72, 1,659.80 and 847.40 is: 1,269.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.72 : 1,659.80 = 847.40 : x
  2. Step 2: Convert to fraction form
    1,107.72/1,659.80 = 847.40/x
  3. Step 3: Cross multiply
    1,107.72x = 1,659.80 × 847.40
  4. Step 4: Simplify right side
    1,107.72x = 1,406,520.79
  5. Step 5: Solve for x
    x = 1,406,520.79/1,107.72
  6. Step 6: Final answer
    x = 1,269.74

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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.