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Finding the Fourth Proportional to 1,064.09, 1,596.30 and 543.81

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Solution

The fourth proportional to 1,064.09, 1,596.30 and 543.81 is: 815.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.09 : 1,596.30 = 543.81 : x
  2. Step 2: Convert to fraction form
    1,064.09/1,596.30 = 543.81/x
  3. Step 3: Cross multiply
    1,064.09x = 1,596.30 × 543.81
  4. Step 4: Simplify right side
    1,064.09x = 868,083.90
  5. Step 5: Solve for x
    x = 868,083.90/1,064.09
  6. Step 6: Final answer
    x = 815.80

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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.