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Finding the Fourth Proportional to 1,140.12, 1,709.80 and 446.62

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Solution

The fourth proportional to 1,140.12, 1,709.80 and 446.62 is: 669.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.12 : 1,709.80 = 446.62 : x
  2. Step 2: Convert to fraction form
    1,140.12/1,709.80 = 446.62/x
  3. Step 3: Cross multiply
    1,140.12x = 1,709.80 × 446.62
  4. Step 4: Simplify right side
    1,140.12x = 763,630.88
  5. Step 5: Solve for x
    x = 763,630.88/1,140.12
  6. Step 6: Final answer
    x = 669.78

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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.