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Finding the Fourth Proportional to 1,634.42, 2,450.57 and 646.93

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Solution

The fourth proportional to 1,634.42, 2,450.57 and 646.93 is: 969.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.42 : 2,450.57 = 646.93 : x
  2. Step 2: Convert to fraction form
    1,634.42/2,450.57 = 646.93/x
  3. Step 3: Cross multiply
    1,634.42x = 2,450.57 × 646.93
  4. Step 4: Simplify right side
    1,634.42x = 1,585,337.89
  5. Step 5: Solve for x
    x = 1,585,337.89/1,634.42
  6. Step 6: Final answer
    x = 969.97

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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.