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Finding the Fourth Proportional to 1,370.80, 2,056.49 and 446.41

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Solution

The fourth proportional to 1,370.80, 2,056.49 and 446.41 is: 669.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.80 : 2,056.49 = 446.41 : x
  2. Step 2: Convert to fraction form
    1,370.80/2,056.49 = 446.41/x
  3. Step 3: Cross multiply
    1,370.80x = 2,056.49 × 446.41
  4. Step 4: Simplify right side
    1,370.80x = 918,039.71
  5. Step 5: Solve for x
    x = 918,039.71/1,370.80
  6. Step 6: Final answer
    x = 669.71

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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.