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Finding the Fourth Proportional to 1,033.58, 1,423.29 and 855.23

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Solution

The fourth proportional to 1,033.58, 1,423.29 and 855.23 is: 1,177.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.58 : 1,423.29 = 855.23 : x
  2. Step 2: Convert to fraction form
    1,033.58/1,423.29 = 855.23/x
  3. Step 3: Cross multiply
    1,033.58x = 1,423.29 × 855.23
  4. Step 4: Simplify right side
    1,033.58x = 1,217,240.31
  5. Step 5: Solve for x
    x = 1,217,240.31/1,033.58
  6. Step 6: Final answer
    x = 1,177.69

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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.