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Finding the Fourth Proportional to 1,064.88, 1,596.60 and 544.23

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Solution

The fourth proportional to 1,064.88, 1,596.60 and 544.23 is: 815.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.88 : 1,596.60 = 544.23 : x
  2. Step 2: Convert to fraction form
    1,064.88/1,596.60 = 544.23/x
  3. Step 3: Cross multiply
    1,064.88x = 1,596.60 × 544.23
  4. Step 4: Simplify right side
    1,064.88x = 868,917.62
  5. Step 5: Solve for x
    x = 868,917.62/1,064.88
  6. Step 6: Final answer
    x = 815.98

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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.