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Finding the Fourth Proportional to 1,626.79, 2,439.87 and 456.55

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Solution

The fourth proportional to 1,626.79, 2,439.87 and 456.55 is: 684.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.79 : 2,439.87 = 456.55 : x
  2. Step 2: Convert to fraction form
    1,626.79/2,439.87 = 456.55/x
  3. Step 3: Cross multiply
    1,626.79x = 2,439.87 × 456.55
  4. Step 4: Simplify right side
    1,626.79x = 1,113,922.65
  5. Step 5: Solve for x
    x = 1,113,922.65/1,626.79
  6. Step 6: Final answer
    x = 684.74

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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.