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Finding the Fourth Proportional to 637.81, 957.39 and 455.83

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Solution

The fourth proportional to 637.81, 957.39 and 455.83 is: 684.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.81 : 957.39 = 455.83 : x
  2. Step 2: Convert to fraction form
    637.81/957.39 = 455.83/x
  3. Step 3: Cross multiply
    637.81x = 957.39 × 455.83
  4. Step 4: Simplify right side
    637.81x = 436,407.08
  5. Step 5: Solve for x
    x = 436,407.08/637.81
  6. Step 6: Final answer
    x = 684.23

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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.