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Finding the Fourth Proportional to 1,033.62, 1,548.24 and 643.80

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Solution

The fourth proportional to 1,033.62, 1,548.24 and 643.80 is: 964.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.62 : 1,548.24 = 643.80 : x
  2. Step 2: Convert to fraction form
    1,033.62/1,548.24 = 643.80/x
  3. Step 3: Cross multiply
    1,033.62x = 1,548.24 × 643.80
  4. Step 4: Simplify right side
    1,033.62x = 996,756.91
  5. Step 5: Solve for x
    x = 996,756.91/1,033.62
  6. Step 6: Final answer
    x = 964.34

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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.