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Finding the Fourth Proportional to 1,370.96, 2,056.89 and 446.55

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Solution

The fourth proportional to 1,370.96, 2,056.89 and 446.55 is: 669.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.96 : 2,056.89 = 446.55 : x
  2. Step 2: Convert to fraction form
    1,370.96/2,056.89 = 446.55/x
  3. Step 3: Cross multiply
    1,370.96x = 2,056.89 × 446.55
  4. Step 4: Simplify right side
    1,370.96x = 918,498.19
  5. Step 5: Solve for x
    x = 918,498.19/1,370.96
  6. Step 6: Final answer
    x = 669.97

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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.