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Finding the Fourth Proportional to 1,140.72, 1,709.92 and 446.95

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Solution

The fourth proportional to 1,140.72, 1,709.92 and 446.95 is: 669.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.72 : 1,709.92 = 446.95 : x
  2. Step 2: Convert to fraction form
    1,140.72/1,709.92 = 446.95/x
  3. Step 3: Cross multiply
    1,140.72x = 1,709.92 × 446.95
  4. Step 4: Simplify right side
    1,140.72x = 764,251.44
  5. Step 5: Solve for x
    x = 764,251.44/1,140.72
  6. Step 6: Final answer
    x = 669.98

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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.