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Finding the Fourth Proportional to 1,033.04, 1,425.53 and 613.43

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Solution

The fourth proportional to 1,033.04, 1,425.53 and 613.43 is: 846.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.04 : 1,425.53 = 613.43 : x
  2. Step 2: Convert to fraction form
    1,033.04/1,425.53 = 613.43/x
  3. Step 3: Cross multiply
    1,033.04x = 1,425.53 × 613.43
  4. Step 4: Simplify right side
    1,033.04x = 874,462.87
  5. Step 5: Solve for x
    x = 874,462.87/1,033.04
  6. Step 6: Final answer
    x = 846.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.